Advanced search options

Sorted by: relevance · author · university · date | New search

You searched for `+publisher:"University of Illinois – Chicago" +contributor:("De Fernex, Tommaso")`

.
Showing records 1 – 2 of
2 total matches.

▼ Search Limiters

University of Illinois – Chicago

1. Stathis, Alexander. Intersection Theory on the Hilbert Scheme of Points in the Projective Plane.

Degree: 2017, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/22045

I provide an explicit algorithm to compute intersection numbers between complementary codimension elements of a specific basis for the Chow ring. I also provide an explicit algorithm to compute the class of the intersection of any element of this basis with the divisor of schemes meeting a fixed general line.
*Advisors/Committee Members: Coskun, Izzet (advisor), Paun, Mihai (committee member), Riedl, Eric (committee member), de Fernex, Tommaso (committee member), Tucker, Kevin (committee member), Coskun, Izzet (chair).*

Subjects/Keywords: intersection theory; algebraic geometry; chow ring; Hilbert scheme

Record Details Similar Records

❌

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

APA (6^{th} Edition):

Stathis, A. (2017). Intersection Theory on the Hilbert Scheme of Points in the Projective Plane. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/22045

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):

Stathis, Alexander. “Intersection Theory on the Hilbert Scheme of Points in the Projective Plane.” 2017. Thesis, University of Illinois – Chicago. Accessed July 12, 2020. http://hdl.handle.net/10027/22045.

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

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Stathis, Alexander. “Intersection Theory on the Hilbert Scheme of Points in the Projective Plane.” 2017. Web. 12 Jul 2020.

Vancouver:

Stathis A. Intersection Theory on the Hilbert Scheme of Points in the Projective Plane. [Internet] [Thesis]. University of Illinois – Chicago; 2017. [cited 2020 Jul 12]. Available from: http://hdl.handle.net/10027/22045.

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

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Stathis A. Intersection Theory on the Hilbert Scheme of Points in the Projective Plane. [Thesis]. University of Illinois – Chicago; 2017. Available from: http://hdl.handle.net/10027/22045

Not specified: Masters Thesis or Doctoral Dissertation

2. 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 program (MMP).
In Chapter 1, we recall the definition of the space X and summarize our main results in Theorems A, B and C.
\medskip
In Chapter 2, we examine the codimension-one cycles of the space X, and exhibit generators for Eff(X) and Nef(X) (Theorem A), the cone of effective divisors and the cone of nef divisors, respectively. This result, in particular, allows us to conclude the space X is a Mori dream space.
\medskip
In Chapter 3, we study the following question: when does a model of X, defined as X(D):= {Proj}(\bigoplus_{m ≥ 0}H^{0}(X,mD)), have a moduli interpretation? We describe such an interpretation for the models X(H_{k}) (Theorem B), where H_{k} is any generator of the nef cone {Nef}(X). In the case of complete quadric surfaces there are 11 birational models X(D) (Theorem B), where D is a divisor in the movable cone {Mov}(X), and among which we find a moduli interpretation for seven of them.
\medskip
Chapter 4 outlines the relation of this work with that of Semple , as well as future directions of research.
*Advisors/Committee Members: Coskun, Izzet (advisor), Ein, Lawrence (committee member), Popa, Mihnea (committee member), Huizenga, Jack (committee member), De Fernex, Tommaso (committee member).*

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

Record Details Similar Records

❌

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 July 12, 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. 12 Jul 2020.

Vancouver:

Lozano Huerta CA. Birational Geometry of the Space of Complete Quadrics. [Internet] [Thesis]. University of Illinois – Chicago; 2014. [cited 2020 Jul 12]. 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