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The Ohio State University

1. Wang, Jie. Geometry of general curves via degenerations and deformations.

Degree: PhD, Mathematics, 2010, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1291067498

► This thesis studies the geometric and deformational behavior of linear series under degenerations with the aim of attacking the maximal rank conjecture. There are three…
(more)

Subjects/Keywords: Mathematics; deformation of pairs; obstruction theory; maximal rank conjecture; line bundles of extremal degree; Hilbert scheme of points

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APA (6^{th} Edition):

Wang, J. (2010). Geometry of general curves via degenerations and deformations. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1291067498

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

Wang, Jie. “Geometry of general curves via degenerations and deformations.” 2010. Doctoral Dissertation, The Ohio State University. Accessed July 10, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1291067498.

MLA Handbook (7^{th} Edition):

Wang, Jie. “Geometry of general curves via degenerations and deformations.” 2010. Web. 10 Jul 2020.

Vancouver:

Wang J. Geometry of general curves via degenerations and deformations. [Internet] [Doctoral dissertation]. The Ohio State University; 2010. [cited 2020 Jul 10]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1291067498.

Council of Science Editors:

Wang J. Geometry of general curves via degenerations and deformations. [Doctoral Dissertation]. The Ohio State University; 2010. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1291067498

2. Haque, Mohammad Moinul. Realizability of tropical lines in the fan tropical plane.

Degree: PhD, Mathematics, 2013, University of Texas – Austin

URL: http://hdl.handle.net/2152/21209

► In this thesis we construct an analogue in tropical geometry for a class of Schubert varieties from classical geometry. In particular, we look at the…
(more)

Subjects/Keywords: Tropical geometry; Algebraic geometry; Geometry; Tropical; Deformation theory; Obstruction; Realizability

…spaces.
One means of solving the lifting problem is by making use of *deformation* *theory*… …Theorem
8.3 of [12]]. This technique involves using log *deformation* *theory* to… …*deformation* *theory*, which we review here following Nishinou and Siebert
[12].
4.1
Toric… …Computations of The *Obstruction*
57
6.1 Tropical Lines of Type 2A in the Fan Tropical Plane… …73
6.5 The Size of the *Obstruction* . . . . . . . . . . . . . . . . . . .
75
6.5.1 Type 1…

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

APA (6^{th} Edition):

Haque, M. M. (2013). Realizability of tropical lines in the fan tropical plane. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/21209

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

Haque, Mohammad Moinul. “Realizability of tropical lines in the fan tropical plane.” 2013. Doctoral Dissertation, University of Texas – Austin. Accessed July 10, 2020. http://hdl.handle.net/2152/21209.

MLA Handbook (7^{th} Edition):

Haque, Mohammad Moinul. “Realizability of tropical lines in the fan tropical plane.” 2013. Web. 10 Jul 2020.

Vancouver:

Haque MM. Realizability of tropical lines in the fan tropical plane. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2013. [cited 2020 Jul 10]. Available from: http://hdl.handle.net/2152/21209.

Council of Science Editors:

Haque MM. Realizability of tropical lines in the fan tropical plane. [Doctoral Dissertation]. University of Texas – Austin; 2013. Available from: http://hdl.handle.net/2152/21209

3.
Sheshmani, Artan.
Towards studying of the higher rank *theory* of stable pairs.

Degree: PhD, 0439, 2011, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/26229

► This thesis is composed of two parts. In the first part we introduce a higher rank analog of the Pandharipande-Thomas *theory* of stable pairs on…
(more)

Subjects/Keywords: Calabi-Yau threefold; Stable pairs; Deformation-obstruction theory; Derived categories; Equivariant cohomology; Virtual localization; Wallcrossing

…virtual class is a well-behaved *deformation*-*obstruction* *theory*. The description of the… …*deformation*
*obstruction* *theory* differs from case to case depending on the geometric structure of the… …x29; = 0}.
We construct a well-behaved *deformation* *obstruction* *theory* for DM stack of… …epimorphism [25].
(P ,r,n)
2
We construct a *deformation* *obstruction* *theory* over… …the conditions for the perfect *deformation*-*obstruction* *theory* of perfect amplitude [−1…

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

APA (6^{th} Edition):

Sheshmani, A. (2011). Towards studying of the higher rank theory of stable pairs. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/26229

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

Sheshmani, Artan. “Towards studying of the higher rank theory of stable pairs.” 2011. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed July 10, 2020. http://hdl.handle.net/2142/26229.

MLA Handbook (7^{th} Edition):

Sheshmani, Artan. “Towards studying of the higher rank theory of stable pairs.” 2011. Web. 10 Jul 2020.

Vancouver:

Sheshmani A. Towards studying of the higher rank theory of stable pairs. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2011. [cited 2020 Jul 10]. Available from: http://hdl.handle.net/2142/26229.

Council of Science Editors:

Sheshmani A. Towards studying of the higher rank theory of stable pairs. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2011. Available from: http://hdl.handle.net/2142/26229

4. Lin, Yinbang. Moduli spaces of stable pairs.

Degree: PhD, Department of Mathematics, 2016, Northeastern University

URL: http://hdl.handle.net/2047/D20211687

► We construct a moduli space of stable pairs over a smooth projective variety, parametrizing morphisms from a fixed coherent sheaf to a varying sheaf of…
(more)

Subjects/Keywords: deformation; moduli space; obstruction; stable pairs; virtual class; Moduli theory; Geometry, Algebraic; Morphisms (Mathematics); Sheaf theory; Hilbert algebras

…*obstruction* *theory* of stable pairs is very similar to that of the Quot scheme.
For a quotient q ∶ E0… …x29;, respectively
Ext1 (J ● , F ).
The *deformation*-*obstruction* problem of stable… …at degree 0 and 1,
α
I ● = {E0 → E}.
Theorem 2 (*Deformation*-*Obstruction*… …on surfaces, using the
reduced *obstruction* *theory*, which is necessary. We will address the… …*obstruction* *theory*,
captured by Theorem 2. Section 6 shows the existence of the virtual fundamental…

Record Details Similar Records

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

APA (6^{th} Edition):

Lin, Y. (2016). Moduli spaces of stable pairs. (Doctoral Dissertation). Northeastern University. Retrieved from http://hdl.handle.net/2047/D20211687

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

Lin, Yinbang. “Moduli spaces of stable pairs.” 2016. Doctoral Dissertation, Northeastern University. Accessed July 10, 2020. http://hdl.handle.net/2047/D20211687.

MLA Handbook (7^{th} Edition):

Lin, Yinbang. “Moduli spaces of stable pairs.” 2016. Web. 10 Jul 2020.

Vancouver:

Lin Y. Moduli spaces of stable pairs. [Internet] [Doctoral dissertation]. Northeastern University; 2016. [cited 2020 Jul 10]. Available from: http://hdl.handle.net/2047/D20211687.

Council of Science Editors:

Lin Y. Moduli spaces of stable pairs. [Doctoral Dissertation]. Northeastern University; 2016. Available from: http://hdl.handle.net/2047/D20211687