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University of Houston

1. -4932-894X. Uniqueness Results of Algebraic Curves and Related Topics.

Degree: PhD, Mathematics, 2017, University of Houston

URL: http://hdl.handle.net/10657/1866

► It is well-known that if two complex polynomials P and Q share two values without counting multiplicities, then they are the same. Such problem is…
(more)

Subjects/Keywords: Uniqueness theorems; Second Main Theorem; Nevanlinna theory; Algebraic curves; Holomorphic curves; Gauss maps; Minimal surfaces

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

-4932-894X. (2017). Uniqueness Results of Algebraic Curves and Related Topics. (Doctoral Dissertation). University of Houston. Retrieved from http://hdl.handle.net/10657/1866

Note: this citation may be lacking information needed for this citation format:

Author name may be incomplete

Chicago Manual of Style (16^{th} Edition):

-4932-894X. “Uniqueness Results of Algebraic Curves and Related Topics.” 2017. Doctoral Dissertation, University of Houston. Accessed October 19, 2020. http://hdl.handle.net/10657/1866.

Note: this citation may be lacking information needed for this citation format:

Author name may be incomplete

MLA Handbook (7^{th} Edition):

-4932-894X. “Uniqueness Results of Algebraic Curves and Related Topics.” 2017. Web. 19 Oct 2020.

Note: this citation may be lacking information needed for this citation format:

Author name may be incomplete

Vancouver:

-4932-894X. Uniqueness Results of Algebraic Curves and Related Topics. [Internet] [Doctoral dissertation]. University of Houston; 2017. [cited 2020 Oct 19]. Available from: http://hdl.handle.net/10657/1866.

Author name may be incomplete

Council of Science Editors:

-4932-894X. Uniqueness Results of Algebraic Curves and Related Topics. [Doctoral Dissertation]. University of Houston; 2017. Available from: http://hdl.handle.net/10657/1866

Author name may be incomplete

University of Houston

2. -2653-4807. On the Positive Holomorphic Sectional Curvature of Projectivized Vector Bundles over Compact Complex Manifolds.

Degree: PhD, Mathematics, 2016, University of Houston

URL: http://hdl.handle.net/10657/3250

► In complex geometry, there are few known examples of, and few known results about, manifolds with metrics of positive curvature. For instance, the geometry of…
(more)

Subjects/Keywords: Holomorphic sectional curvature; Complex Manifolds

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

-2653-4807. (2016). On the Positive Holomorphic Sectional Curvature of Projectivized Vector Bundles over Compact Complex Manifolds. (Doctoral Dissertation). University of Houston. Retrieved from http://hdl.handle.net/10657/3250

Author name may be incomplete

Chicago Manual of Style (16^{th} Edition):

-2653-4807. “On the Positive Holomorphic Sectional Curvature of Projectivized Vector Bundles over Compact Complex Manifolds.” 2016. Doctoral Dissertation, University of Houston. Accessed October 19, 2020. http://hdl.handle.net/10657/3250.

Author name may be incomplete

MLA Handbook (7^{th} Edition):

-2653-4807. “On the Positive Holomorphic Sectional Curvature of Projectivized Vector Bundles over Compact Complex Manifolds.” 2016. Web. 19 Oct 2020.

Author name may be incomplete

Vancouver:

-2653-4807. On the Positive Holomorphic Sectional Curvature of Projectivized Vector Bundles over Compact Complex Manifolds. [Internet] [Doctoral dissertation]. University of Houston; 2016. [cited 2020 Oct 19]. Available from: http://hdl.handle.net/10657/3250.

Author name may be incomplete

Council of Science Editors:

-2653-4807. On the Positive Holomorphic Sectional Curvature of Projectivized Vector Bundles over Compact Complex Manifolds. [Doctoral Dissertation]. University of Houston; 2016. Available from: http://hdl.handle.net/10657/3250

Author name may be incomplete

University of Houston

3. Gul, Nuray 1989-. On Maps from N-Ball into (3n-2)-Ball.

Degree: PhD, Mathematics, 2019, University of Houston

URL: http://hdl.handle.net/10657/4459

► In this dissertation, the proper rational holomorphic maps from n-ball into (3n-2)-ball have been studied. We give a necessary and sufficient condition for holomorphic maps…
(more)

Subjects/Keywords: Proper rational holomorpic maps; Balls

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Gul, N. 1. (2019). On Maps from N-Ball into (3n-2)-Ball. (Doctoral Dissertation). University of Houston. Retrieved from http://hdl.handle.net/10657/4459

Chicago Manual of Style (16^{th} Edition):

Gul, Nuray 1989-. “On Maps from N-Ball into (3n-2)-Ball.” 2019. Doctoral Dissertation, University of Houston. Accessed October 19, 2020. http://hdl.handle.net/10657/4459.

MLA Handbook (7^{th} Edition):

Gul, Nuray 1989-. “On Maps from N-Ball into (3n-2)-Ball.” 2019. Web. 19 Oct 2020.

Vancouver:

Gul N1. On Maps from N-Ball into (3n-2)-Ball. [Internet] [Doctoral dissertation]. University of Houston; 2019. [cited 2020 Oct 19]. Available from: http://hdl.handle.net/10657/4459.

Council of Science Editors:

Gul N1. On Maps from N-Ball into (3n-2)-Ball. [Doctoral Dissertation]. University of Houston; 2019. Available from: http://hdl.handle.net/10657/4459

University of Houston

4. Liao, Hung Zen 1983-. Some Results on the Degeneracy of Entire Curves and Integral Points in the Complements of Divisors.

Degree: PhD, Mathematics, 2016, University of Houston

URL: http://hdl.handle.net/10657/5410

► In this dissertation, we first discuss some of the important results in Nevanlinna Theory and Diophantine Approximation Theory. Next, a result by the author and…
(more)

Subjects/Keywords: Navenlinna Theory; Diophantine approximation; Holomorphic curves

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Liao, H. Z. 1. (2016). Some Results on the Degeneracy of Entire Curves and Integral Points in the Complements of Divisors. (Doctoral Dissertation). University of Houston. Retrieved from http://hdl.handle.net/10657/5410

Chicago Manual of Style (16^{th} Edition):

Liao, Hung Zen 1983-. “Some Results on the Degeneracy of Entire Curves and Integral Points in the Complements of Divisors.” 2016. Doctoral Dissertation, University of Houston. Accessed October 19, 2020. http://hdl.handle.net/10657/5410.

MLA Handbook (7^{th} Edition):

Liao, Hung Zen 1983-. “Some Results on the Degeneracy of Entire Curves and Integral Points in the Complements of Divisors.” 2016. Web. 19 Oct 2020.

Vancouver:

Liao HZ1. Some Results on the Degeneracy of Entire Curves and Integral Points in the Complements of Divisors. [Internet] [Doctoral dissertation]. University of Houston; 2016. [cited 2020 Oct 19]. Available from: http://hdl.handle.net/10657/5410.

Council of Science Editors:

Liao HZ1. Some Results on the Degeneracy of Entire Curves and Integral Points in the Complements of Divisors. [Doctoral Dissertation]. University of Houston; 2016. Available from: http://hdl.handle.net/10657/5410

University of Houston

5. Mills, Charles David 1989-. An Improved Defect Relation for Holomorphic Curves in Projective Varieties.

Degree: PhD, Mathematics, 2017, University of Houston

URL: http://hdl.handle.net/10657/4601

► In this dissertation we improve Min Ru's defect relation (as well as the Second Main Theorem) for holomorphic curves f: {\Bbb C} → X intersecting D:=D_{1+}∙s…
(more)

Subjects/Keywords: Holomorphic curves; Projective; Variety

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Mills, C. D. 1. (2017). An Improved Defect Relation for Holomorphic Curves in Projective Varieties. (Doctoral Dissertation). University of Houston. Retrieved from http://hdl.handle.net/10657/4601

Chicago Manual of Style (16^{th} Edition):

Mills, Charles David 1989-. “An Improved Defect Relation for Holomorphic Curves in Projective Varieties.” 2017. Doctoral Dissertation, University of Houston. Accessed October 19, 2020. http://hdl.handle.net/10657/4601.

MLA Handbook (7^{th} Edition):

Mills, Charles David 1989-. “An Improved Defect Relation for Holomorphic Curves in Projective Varieties.” 2017. Web. 19 Oct 2020.

Vancouver:

Mills CD1. An Improved Defect Relation for Holomorphic Curves in Projective Varieties. [Internet] [Doctoral dissertation]. University of Houston; 2017. [cited 2020 Oct 19]. Available from: http://hdl.handle.net/10657/4601.

Council of Science Editors:

Mills CD1. An Improved Defect Relation for Holomorphic Curves in Projective Varieties. [Doctoral Dissertation]. University of Houston; 2017. Available from: http://hdl.handle.net/10657/4601

University of Houston

6. Chaturvedi, Ananya 1987-. On Holomorphic Sectional Curvature and Fibrations.

Degree: PhD, Mathematics, 2016, University of Houston

URL: http://hdl.handle.net/10657/1937

► In this dissertation, we prove the existence of a metric of definite holomorphic sectional curvature on certain compact fibrations. The basic idea for these curvature…
(more)

Subjects/Keywords: Holomorphic sectional curvature; Curvature; Fibration; Negative curvature; Positive curvature; Hirzebruch surface; Isotrivial family of curves; Family of curves; Product manifold; Product metric; Covering space; Semi-definite curvature; Warped metric

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Chaturvedi, A. 1. (2016). On Holomorphic Sectional Curvature and Fibrations. (Doctoral Dissertation). University of Houston. Retrieved from http://hdl.handle.net/10657/1937

Chicago Manual of Style (16^{th} Edition):

Chaturvedi, Ananya 1987-. “On Holomorphic Sectional Curvature and Fibrations.” 2016. Doctoral Dissertation, University of Houston. Accessed October 19, 2020. http://hdl.handle.net/10657/1937.

MLA Handbook (7^{th} Edition):

Chaturvedi, Ananya 1987-. “On Holomorphic Sectional Curvature and Fibrations.” 2016. Web. 19 Oct 2020.

Vancouver:

Chaturvedi A1. On Holomorphic Sectional Curvature and Fibrations. [Internet] [Doctoral dissertation]. University of Houston; 2016. [cited 2020 Oct 19]. Available from: http://hdl.handle.net/10657/1937.

Council of Science Editors:

Chaturvedi A1. On Holomorphic Sectional Curvature and Fibrations. [Doctoral Dissertation]. University of Houston; 2016. Available from: http://hdl.handle.net/10657/1937

University of Houston

7. Andrews, Jared 1982-. A New Gap Theorem Result for Proper Holomorphic Mappings Between Complex Balls.

Degree: PhD, Mathematics, 2014, University of Houston

URL: http://hdl.handle.net/10657/4865

► In this dissertation, we study how rigidity properties of proper holomorphic mappings from complex balls of dimension n to complex balls of dimension N allow…
(more)

Subjects/Keywords: CR geometry; Complex analysis

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Andrews, J. 1. (2014). A New Gap Theorem Result for Proper Holomorphic Mappings Between Complex Balls. (Doctoral Dissertation). University of Houston. Retrieved from http://hdl.handle.net/10657/4865

Chicago Manual of Style (16^{th} Edition):

Andrews, Jared 1982-. “A New Gap Theorem Result for Proper Holomorphic Mappings Between Complex Balls.” 2014. Doctoral Dissertation, University of Houston. Accessed October 19, 2020. http://hdl.handle.net/10657/4865.

MLA Handbook (7^{th} Edition):

Andrews, Jared 1982-. “A New Gap Theorem Result for Proper Holomorphic Mappings Between Complex Balls.” 2014. Web. 19 Oct 2020.

Vancouver:

Andrews J1. A New Gap Theorem Result for Proper Holomorphic Mappings Between Complex Balls. [Internet] [Doctoral dissertation]. University of Houston; 2014. [cited 2020 Oct 19]. Available from: http://hdl.handle.net/10657/4865.

Council of Science Editors:

Andrews J1. A New Gap Theorem Result for Proper Holomorphic Mappings Between Complex Balls. [Doctoral Dissertation]. University of Houston; 2014. Available from: http://hdl.handle.net/10657/4865

University of Houston

8. -0582-8993. Uniqueness Results for a Class of Holomorphic Mappings on a Complex Disc.

Degree: PhD, Mathematics, 2019, University of Houston

URL: http://hdl.handle.net/10657/4657

► This dissertation gives a brief exposition of the history of Value Distribution Theory, often times referred to as Nevanlinna theory, and studies the case for…
(more)

Subjects/Keywords: Nevanlinna theory; Complex geometry

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

-0582-8993. (2019). Uniqueness Results for a Class of Holomorphic Mappings on a Complex Disc. (Doctoral Dissertation). University of Houston. Retrieved from http://hdl.handle.net/10657/4657

Author name may be incomplete

Chicago Manual of Style (16^{th} Edition):

-0582-8993. “Uniqueness Results for a Class of Holomorphic Mappings on a Complex Disc.” 2019. Doctoral Dissertation, University of Houston. Accessed October 19, 2020. http://hdl.handle.net/10657/4657.

Author name may be incomplete

MLA Handbook (7^{th} Edition):

-0582-8993. “Uniqueness Results for a Class of Holomorphic Mappings on a Complex Disc.” 2019. Web. 19 Oct 2020.

Author name may be incomplete

Vancouver:

-0582-8993. Uniqueness Results for a Class of Holomorphic Mappings on a Complex Disc. [Internet] [Doctoral dissertation]. University of Houston; 2019. [cited 2020 Oct 19]. Available from: http://hdl.handle.net/10657/4657.

Author name may be incomplete

Council of Science Editors:

-0582-8993. Uniqueness Results for a Class of Holomorphic Mappings on a Complex Disc. [Doctoral Dissertation]. University of Houston; 2019. Available from: http://hdl.handle.net/10657/4657

Author name may be incomplete

9. Lee, Brandon M. 1984-. Pseudoconformal Curvature and the Embeddability of a CR Hypersurface.

Degree: PhD, Mathematics, 2014, University of Houston

URL: http://hdl.handle.net/10657/686

► Under certain conditions on the codimension and curvature, the image of a Cauchy-Riemann, or CR, hypersurface of revolution under a CR embedding is proved to…
(more)

Subjects/Keywords: CR geometry; Kahler Geometry; Mathematics

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Lee, B. M. 1. (2014). Pseudoconformal Curvature and the Embeddability of a CR Hypersurface. (Doctoral Dissertation). University of Houston. Retrieved from http://hdl.handle.net/10657/686

Chicago Manual of Style (16^{th} Edition):

Lee, Brandon M 1984-. “Pseudoconformal Curvature and the Embeddability of a CR Hypersurface.” 2014. Doctoral Dissertation, University of Houston. Accessed October 19, 2020. http://hdl.handle.net/10657/686.

MLA Handbook (7^{th} Edition):

Lee, Brandon M 1984-. “Pseudoconformal Curvature and the Embeddability of a CR Hypersurface.” 2014. Web. 19 Oct 2020.

Vancouver:

Lee BM1. Pseudoconformal Curvature and the Embeddability of a CR Hypersurface. [Internet] [Doctoral dissertation]. University of Houston; 2014. [cited 2020 Oct 19]. Available from: http://hdl.handle.net/10657/686.

Council of Science Editors:

Lee BM1. Pseudoconformal Curvature and the Embeddability of a CR Hypersurface. [Doctoral Dissertation]. University of Houston; 2014. Available from: http://hdl.handle.net/10657/686

University of Houston

10. -4213-6446. Unicity Results for Gauss Maps of Minimal Surfaces Immersed in R^m.

Degree: PhD, Mathematics, University of Houston

URL: http://hdl.handle.net/10657/3551

► The purpose of this dissertation is to discuss the theory of holomorphic curves in order to study value distributions of (generalized) Gauss maps of complete…
(more)

Subjects/Keywords: Unicity Theorem; Gauss maps; Minimal surfaces; Hyperplanes; Complex geometry

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

-4213-6446. (n.d.). Unicity Results for Gauss Maps of Minimal Surfaces Immersed in R^m. (Doctoral Dissertation). University of Houston. Retrieved from http://hdl.handle.net/10657/3551

Note: this citation may be lacking information needed for this citation format:

Author name may be incomplete

No year of publication.

Chicago Manual of Style (16^{th} Edition):

-4213-6446. “Unicity Results for Gauss Maps of Minimal Surfaces Immersed in R^m.” Doctoral Dissertation, University of Houston. Accessed October 19, 2020. http://hdl.handle.net/10657/3551.

Note: this citation may be lacking information needed for this citation format:

Author name may be incomplete

No year of publication.

MLA Handbook (7^{th} Edition):

-4213-6446. “Unicity Results for Gauss Maps of Minimal Surfaces Immersed in R^m.” Web. 19 Oct 2020.

Note: this citation may be lacking information needed for this citation format:

Author name may be incomplete

No year of publication.

Vancouver:

-4213-6446. Unicity Results for Gauss Maps of Minimal Surfaces Immersed in R^m. [Internet] [Doctoral dissertation]. University of Houston; [cited 2020 Oct 19]. Available from: http://hdl.handle.net/10657/3551.

Author name may be incomplete

No year of publication.

Council of Science Editors:

-4213-6446. Unicity Results for Gauss Maps of Minimal Surfaces Immersed in R^m. [Doctoral Dissertation]. University of Houston; Available from: http://hdl.handle.net/10657/3551

Author name may be incomplete

No year of publication.

University of Houston

11. Hussein, Saud 1975-. A General Defect Relation and Height Inequality for Divisors in Subgeneral Position.

Degree: PhD, Mathematics, University of Houston

URL: http://hdl.handle.net/10657/3550

► In this dissertation, we describe a paper that improves on the conditions that imply holomorphic curves and integral points are degenerate or not Zariski-dense. Specifically,…
(more)

Subjects/Keywords: Nevanlinna theory; Diophantine approximation; Defect relation; Equidegree; Subgeneral position

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Hussein, S. 1. (n.d.). A General Defect Relation and Height Inequality for Divisors in Subgeneral Position. (Doctoral Dissertation). University of Houston. Retrieved from http://hdl.handle.net/10657/3550

Note: this citation may be lacking information needed for this citation format:

No year of publication.

Chicago Manual of Style (16^{th} Edition):

Hussein, Saud 1975-. “A General Defect Relation and Height Inequality for Divisors in Subgeneral Position.” Doctoral Dissertation, University of Houston. Accessed October 19, 2020. http://hdl.handle.net/10657/3550.

Note: this citation may be lacking information needed for this citation format:

No year of publication.

MLA Handbook (7^{th} Edition):

Hussein, Saud 1975-. “A General Defect Relation and Height Inequality for Divisors in Subgeneral Position.” Web. 19 Oct 2020.

Note: this citation may be lacking information needed for this citation format:

No year of publication.

Vancouver:

Hussein S1. A General Defect Relation and Height Inequality for Divisors in Subgeneral Position. [Internet] [Doctoral dissertation]. University of Houston; [cited 2020 Oct 19]. Available from: http://hdl.handle.net/10657/3550.

No year of publication.

Council of Science Editors:

Hussein S1. A General Defect Relation and Height Inequality for Divisors in Subgeneral Position. [Doctoral Dissertation]. University of Houston; Available from: http://hdl.handle.net/10657/3550

No year of publication.