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University of Illinois – Chicago

1. Chou, Chih-Chi. Singularities in Birational Geometry.

Degree: 2014, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/19077

► In this thesis we study singularities in birational geometry. In the first part, we investigate log canonical singularities and its relation with rational singularities. In…
(more)

Subjects/Keywords: Log canonical singularities; Rational singularities; Vanishing theorems.

Record Details Similar Records

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

APA (6^{th} Edition):

Chou, C. (2014). Singularities in Birational Geometry. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/19077

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

Not specified: Masters Thesis or Doctoral Dissertation

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

Chou, Chih-Chi. “Singularities in Birational Geometry.” 2014. Thesis, University of Illinois – Chicago. Accessed June 06, 2020. http://hdl.handle.net/10027/19077.

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

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Chou, Chih-Chi. “Singularities in Birational Geometry.” 2014. Web. 06 Jun 2020.

Vancouver:

Chou C. Singularities in Birational Geometry. [Internet] [Thesis]. University of Illinois – Chicago; 2014. [cited 2020 Jun 06]. Available from: http://hdl.handle.net/10027/19077.

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

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Chou C. Singularities in Birational Geometry. [Thesis]. University of Illinois – Chicago; 2014. Available from: http://hdl.handle.net/10027/19077

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

2. Song, Lei. Rational Singularities of Brill-Noether Loci and Log Canonical Thresholds on Hilbert Schemes of Points.

Degree: 2014, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/18980

► It is well known in algebraic geometry that Hilbert and Picard functors are representable by Hilbert schemes {Hilb}(X) and Picard schemes {Pic}(X) respectively. The thesis…
(more)

Subjects/Keywords: Brill-Noether loci; Semi-regular line bundles; Rational singularities; Hilbert scheme of points on a surface; Universal family; Log canonical threshold

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

APA (6^{th} Edition):

Song, L. (2014). Rational Singularities of Brill-Noether Loci and Log Canonical Thresholds on Hilbert Schemes of Points. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/18980

Not specified: Masters Thesis or Doctoral Dissertation

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

Song, Lei. “Rational Singularities of Brill-Noether Loci and Log Canonical Thresholds on Hilbert Schemes of Points.” 2014. Thesis, University of Illinois – Chicago. Accessed June 06, 2020. http://hdl.handle.net/10027/18980.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Song, Lei. “Rational Singularities of Brill-Noether Loci and Log Canonical Thresholds on Hilbert Schemes of Points.” 2014. Web. 06 Jun 2020.

Vancouver:

Song L. Rational Singularities of Brill-Noether Loci and Log Canonical Thresholds on Hilbert Schemes of Points. [Internet] [Thesis]. University of Illinois – Chicago; 2014. [cited 2020 Jun 06]. Available from: http://hdl.handle.net/10027/18980.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Song L. Rational Singularities of Brill-Noether Loci and Log Canonical Thresholds on Hilbert Schemes of Points. [Thesis]. University of Illinois – Chicago; 2014. Available from: http://hdl.handle.net/10027/18980

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

3. Niu, Wenbo. Bounding the Castelnuovo-Mumford Regularity of Algebraic Varieties.

Degree: 2012, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/9630

► In this monograph, we study bounds for the Castelnuovo-Mumford regularity of algebraic varieties. In chapter three, we give a computational bounds for an homogeneous ideal,…
(more)

Subjects/Keywords: Castelnuovo-Mumford regularity; powers of ideals; symbolic powers; multiplier ideal sheaves; vanishing theorems; asymptotic regularity; multiregularity; Mukai regularity.

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

APA (6^{th} Edition):

Niu, W. (2012). Bounding the Castelnuovo-Mumford Regularity of Algebraic Varieties. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/9630

Not specified: Masters Thesis or Doctoral Dissertation

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

Niu, Wenbo. “Bounding the Castelnuovo-Mumford Regularity of Algebraic Varieties.” 2012. Thesis, University of Illinois – Chicago. Accessed June 06, 2020. http://hdl.handle.net/10027/9630.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Niu, Wenbo. “Bounding the Castelnuovo-Mumford Regularity of Algebraic Varieties.” 2012. Web. 06 Jun 2020.

Vancouver:

Niu W. Bounding the Castelnuovo-Mumford Regularity of Algebraic Varieties. [Internet] [Thesis]. University of Illinois – Chicago; 2012. [cited 2020 Jun 06]. Available from: http://hdl.handle.net/10027/9630.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Niu W. Bounding the Castelnuovo-Mumford Regularity of Algebraic Varieties. [Thesis]. University of Illinois – Chicago; 2012. Available from: http://hdl.handle.net/10027/9630

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

4. Ye, Fei. Topology of Moduli Spaces and Complements of Hyperplane Arrangements.

Degree: 2011, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/8044

► A complex l-arrangement A is a finite collection of hyperplanes in a l-dimensional affine (or projective) space. The study of the interplay between the topology…
(more)

Subjects/Keywords: Moduli spaces; Hyperplane arrangements

Record Details Similar Records

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

APA (6^{th} Edition):

Ye, F. (2011). Topology of Moduli Spaces and Complements of Hyperplane Arrangements. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/8044

Not specified: Masters Thesis or Doctoral Dissertation

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

Ye, Fei. “Topology of Moduli Spaces and Complements of Hyperplane Arrangements.” 2011. Thesis, University of Illinois – Chicago. Accessed June 06, 2020. http://hdl.handle.net/10027/8044.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Ye, Fei. “Topology of Moduli Spaces and Complements of Hyperplane Arrangements.” 2011. Web. 06 Jun 2020.

Vancouver:

Ye F. Topology of Moduli Spaces and Complements of Hyperplane Arrangements. [Internet] [Thesis]. University of Illinois – Chicago; 2011. [cited 2020 Jun 06]. Available from: http://hdl.handle.net/10027/8044.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ye F. Topology of Moduli Spaces and Complements of Hyperplane Arrangements. [Thesis]. University of Illinois – Chicago; 2011. Available from: http://hdl.handle.net/10027/8044

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

5. Abdelkerim, Richard. Geometry of the Dual Grassmannian.

Degree: 2011, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/8051

► Linear sections of Grassmannians provide important examples of varieties. The geometry of these linear sections is closely tied to the spaces of Schubert varieties contained…
(more)

Subjects/Keywords: Exterior Powers of Vector Spaces; Grassmannians; Hyperplane Sections; Schubert Varieties

Record Details Similar Records

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

APA (6^{th} Edition):

Abdelkerim, R. (2011). Geometry of the Dual Grassmannian. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/8051

Not specified: Masters Thesis or Doctoral Dissertation

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

Abdelkerim, Richard. “Geometry of the Dual Grassmannian.” 2011. Thesis, University of Illinois – Chicago. Accessed June 06, 2020. http://hdl.handle.net/10027/8051.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Abdelkerim, Richard. “Geometry of the Dual Grassmannian.” 2011. Web. 06 Jun 2020.

Vancouver:

Abdelkerim R. Geometry of the Dual Grassmannian. [Internet] [Thesis]. University of Illinois – Chicago; 2011. [cited 2020 Jun 06]. Available from: http://hdl.handle.net/10027/8051.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Abdelkerim R. Geometry of the Dual Grassmannian. [Thesis]. University of Illinois – Chicago; 2011. Available from: http://hdl.handle.net/10027/8051

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

6. Wechter, Matthew A. Differential Operators on Finite Purely Inseparable Extensions.

Degree: 2013, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/10166

► We study the the differential operators of a finite modular field extension. Using the Jacobson-Bourbaki Theorem, we establish criteria for when a subalgebra of the…
(more)

Subjects/Keywords: Galois theory; purely inseparable extension; higher derivation; modular extension

Record Details Similar Records

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

APA (6^{th} Edition):

Wechter, M. A. (2013). Differential Operators on Finite Purely Inseparable Extensions. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/10166

Not specified: Masters Thesis or Doctoral Dissertation

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

Wechter, Matthew A. “Differential Operators on Finite Purely Inseparable Extensions.” 2013. Thesis, University of Illinois – Chicago. Accessed June 06, 2020. http://hdl.handle.net/10027/10166.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Wechter, Matthew A. “Differential Operators on Finite Purely Inseparable Extensions.” 2013. Web. 06 Jun 2020.

Vancouver:

Wechter MA. Differential Operators on Finite Purely Inseparable Extensions. [Internet] [Thesis]. University of Illinois – Chicago; 2013. [cited 2020 Jun 06]. Available from: http://hdl.handle.net/10027/10166.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Wechter MA. Differential Operators on Finite Purely Inseparable Extensions. [Thesis]. University of Illinois – Chicago; 2013. Available from: http://hdl.handle.net/10027/10166

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

7. Lombardi, Luigi. Derived Equivalences of Irregular Varieties and Constraints on Hodge Numbers.

Degree: 2013, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/10294

► We study derived equivalences of smooth projective irregular varieties. More specifically, as suggested by a conjecture of *Popa*, we investigate the behavior of cohomological support…
(more)

Subjects/Keywords: Derived Categories; Equivalences; Non-vanishing Loci; Irregular Varieties; Picard Variety; Hodge Numbers; Derivative Complex; Hochschild homology

Record Details Similar Records

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

APA (6^{th} Edition):

Lombardi, L. (2013). Derived Equivalences of Irregular Varieties and Constraints on Hodge Numbers. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/10294

Not specified: Masters Thesis or Doctoral Dissertation

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

Lombardi, Luigi. “Derived Equivalences of Irregular Varieties and Constraints on Hodge Numbers.” 2013. Thesis, University of Illinois – Chicago. Accessed June 06, 2020. http://hdl.handle.net/10027/10294.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Lombardi, Luigi. “Derived Equivalences of Irregular Varieties and Constraints on Hodge Numbers.” 2013. Web. 06 Jun 2020.

Vancouver:

Lombardi L. Derived Equivalences of Irregular Varieties and Constraints on Hodge Numbers. [Internet] [Thesis]. University of Illinois – Chicago; 2013. [cited 2020 Jun 06]. Available from: http://hdl.handle.net/10027/10294.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Lombardi L. Derived Equivalences of Irregular Varieties and Constraints on Hodge Numbers. [Thesis]. University of Illinois – Chicago; 2013. Available from: http://hdl.handle.net/10027/10294

Not specified: Masters Thesis or Doctoral Dissertation

8. Lozano Huerta, Cesar A. Birational Geometry of the Space of Complete Quadrics.

Degree: 2014, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/18779

► Let X be the moduli space of complete (n-1)-quadrics. In this thesis, we study the birational geometry of X using tools from the minimal model…
(more)

Subjects/Keywords: algebraic gemeotry; birational geometry; complete quadrics; minimal model program; Mori's program; Hassett-Keel program; moduli spaces

Record Details Similar Records

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

APA (6^{th} Edition):

Lozano Huerta, C. A. (2014). Birational Geometry of the Space of Complete Quadrics. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/18779

Not specified: Masters Thesis or Doctoral Dissertation

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

Lozano Huerta, Cesar A. “Birational Geometry of the Space of Complete Quadrics.” 2014. Thesis, University of Illinois – Chicago. Accessed June 06, 2020. http://hdl.handle.net/10027/18779.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Lozano Huerta, Cesar A. “Birational Geometry of the Space of Complete Quadrics.” 2014. Web. 06 Jun 2020.

Vancouver:

Lozano Huerta CA. Birational Geometry of the Space of Complete Quadrics. [Internet] [Thesis]. University of Illinois – Chicago; 2014. [cited 2020 Jun 06]. Available from: http://hdl.handle.net/10027/18779.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Lozano Huerta CA. Birational Geometry of the Space of Complete Quadrics. [Thesis]. University of Illinois – Chicago; 2014. Available from: http://hdl.handle.net/10027/18779

Not specified: Masters Thesis or Doctoral Dissertation

9. Pham, Tuan D. On the Picard Varieties of Surfaces with Equivalent Derived Categories.

Degree: 2012, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/9623

► It was shown recently by *Popa* and Schnell that the irregularities of two smooth projective varieties with equivalent bounded derived categories of coherent sheaves are…
(more)

Subjects/Keywords: algebraic geometry; derived categories; Picard varieties; automorphism groups; Albanese varieties; Fourier-Mukai transforms

Record Details Similar Records

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

APA (6^{th} Edition):

Pham, T. D. (2012). On the Picard Varieties of Surfaces with Equivalent Derived Categories. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/9623

Not specified: Masters Thesis or Doctoral Dissertation

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

Pham, Tuan D. “On the Picard Varieties of Surfaces with Equivalent Derived Categories.” 2012. Thesis, University of Illinois – Chicago. Accessed June 06, 2020. http://hdl.handle.net/10027/9623.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Pham, Tuan D. “On the Picard Varieties of Surfaces with Equivalent Derived Categories.” 2012. Web. 06 Jun 2020.

Vancouver:

Pham TD. On the Picard Varieties of Surfaces with Equivalent Derived Categories. [Internet] [Thesis]. University of Illinois – Chicago; 2012. [cited 2020 Jun 06]. Available from: http://hdl.handle.net/10027/9623.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Pham TD. On the Picard Varieties of Surfaces with Equivalent Derived Categories. [Thesis]. University of Illinois – Chicago; 2012. Available from: http://hdl.handle.net/10027/9623

Not specified: Masters Thesis or Doctoral Dissertation

10. Shulman, Andrew. Elementary divisors of reductions of generic Drinfeld modules.

Degree: 2012, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/8268

► Let q be a power of an odd prime, A := F_{q}[T], and k := F_{q}(T). Let ψ be a Drinfeld A- module over a…
(more)

Subjects/Keywords: Drinfeld modules; elliptic curves; reduction; elementary divisors

Record Details Similar Records

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

APA (6^{th} Edition):

Shulman, A. (2012). Elementary divisors of reductions of generic Drinfeld modules. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/8268

Not specified: Masters Thesis or Doctoral Dissertation

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

Shulman, Andrew. “Elementary divisors of reductions of generic Drinfeld modules.” 2012. Thesis, University of Illinois – Chicago. Accessed June 06, 2020. http://hdl.handle.net/10027/8268.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Shulman, Andrew. “Elementary divisors of reductions of generic Drinfeld modules.” 2012. Web. 06 Jun 2020.

Vancouver:

Shulman A. Elementary divisors of reductions of generic Drinfeld modules. [Internet] [Thesis]. University of Illinois – Chicago; 2012. [cited 2020 Jun 06]. Available from: http://hdl.handle.net/10027/8268.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Shulman A. Elementary divisors of reductions of generic Drinfeld modules. [Thesis]. University of Illinois – Chicago; 2012. Available from: http://hdl.handle.net/10027/8268

Not specified: Masters Thesis or Doctoral Dissertation