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.)

Degenerations of Godeaux surfaces and exceptional vector bundles

Anna Kazanova, University of Massachusetts Amherst

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.^

Subject Area

Applied mathematics|Mathematics

Recommended Citation

Kazanova, Anna, "Degenerations of Godeaux surfaces and exceptional vector bundles" (2013). Doctoral Dissertations Available from Proquest. AAI3603104.
http://scholarworks.umass.edu/dissertations/AAI3603104

Share

COinS