Type
Text
Type
Dissertation
Advisor
Lazarsfeld, Robert | Laza, Radu | Grushevsky, Samuel | Jensen, David.
Date
2014-12-01
Keywords
Geometric Invariant theory, Moduli spaces | Mathematics
Department
Department of Mathematics.
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/76394
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
We describe the GIT compactification for the moduli space of smooth quintic surfaces in projective space. This GIT quotient is used along with the stable replacement for studying the geometry of another special compactification which was developed by Kollár, Shepherd-Barron and Alexeev. In particular, we discuss the interplay between GIT stable quintic surfaces with minimal elliptic singularities and boundary divisors in the KSBA space. | We describe the GIT compactification for the moduli space of smooth quintic surfaces in projective space. This GIT quotient is used along with the stable replacement for studying the geometry of another special compactification which was developed by Kollár, Shepherd-Barron and Alexeev. In particular, we discuss the interplay between GIT stable quintic surfaces with minimal elliptic singularities and boundary divisors in the KSBA space. | 99 pages
Recommended Citation
Gallardo, Patricio, "On the moduli space of quintic surfaces" (2014). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 2317.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/2317