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Date of Award
9-2013
Access Type
Campus Access
Document type
dissertation
Degree Name
Doctor of Philosophy (PhD)
Degree Program
Mathematics and Statistics
First Advisor
Paul A. Hacking
Second Advisor
Eyal Markman
Third Advisor
Evgueni Tevelev
Subject Categories
Applied Mathematics | Mathematics
Abstract
A recent construction of Hacking relates the classification of stable vector bundles on a surface of general type with geometric genus 0 and the boundary of the moduli space of deformations of the surface. The goal of this thesis is to analyze this relation for Godeaux surfaces. To do this, first, we give a description of some boundary components of the moduli space of Godeaux surfaces. Second, we explicitly construct certain exceptional vector bundles of rank 2 on Godeaux surfaces, stable with respect to the canonical class. Finally, we examine the relation between such boundary components and exceptional vector bundles of rank two on Godeaux surfaces.
DOI
https://doi.org/10.7275/br8c-n763
Recommended Citation
Kazanova, Anna, "Degenerations Of Godeaux Surfaces And Exceptional Vector Bundles" (2013). Doctoral Dissertations 1896 - February 2014. 518.
https://doi.org/10.7275/br8c-n763
https://scholarworks.umass.edu/dissertations_1/518