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Author ORCID Identifier
N/A
AccessType
Open Access Dissertation
Document Type
dissertation
Degree Name
Doctor of Philosophy (PhD)
Degree Program
Mathematics
Year Degree Awarded
2014
Month Degree Awarded
February
First Advisor
Jenia Tevelev
Second Advisor
Paul Hacking
Third Advisor
Eduardo Cattani
Subject Categories
Mathematics
Abstract
I give a bound on which singularities may appear on KSBA stable surfaces for a wide range of topological invariants, and use this result to describe all stable numerical quintic surfaces, i.e. stable surfaces with K^2= 5, p_g=4, and q=0, whose unique non Du Val singularity is a Wahl singularity. Quintic surfaces are the simplest examples of surfaces of general type and the question of describing their moduli is a long-standing question in algebraic geometry. I then extend the deformation theory of Horikawa to the log setting in order to describe the boundary divisor of the moduli space of KSBA stable numerical quintic surfaces corresponding to these surfaces.
DOI
https://doi.org/10.7275/drq1-1x59
Recommended Citation
Rana, Julie, "Boundary Divisors in the Moduli Space of Stable Quintic Surfaces" (2014). Doctoral Dissertations. 23.
https://doi.org/10.7275/drq1-1x59
https://scholarworks.umass.edu/dissertations_2/23