Off-campus UMass Amherst users: To download dissertations, please use the following link to log into our proxy server with your UMass Amherst user name and password.

Non-UMass Amherst users, please click the view more button below to purchase a copy of this dissertation from Proquest.

(Some titles may also be available free of charge in our Open Access Dissertation Collection, so please check there first.)

Boundary divisors in the moduli space of stable quintic surfaces

Julie Rana, University of Massachusetts Amherst

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 K2= 5, pg=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.^

Subject Area

Mathematics

Recommended Citation

Rana, Julie, "Boundary divisors in the moduli space of stable quintic surfaces" (2014). Doctoral Dissertations Available from Proquest. AAI3615443.
http://scholarworks.umass.edu/dissertations/AAI3615443

Share

COinS