Author's Department/Program
Mathematics
Language
English (en)
Date of Award
Summer 8-30-2013
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Chair and Committee
Mohan Kumar
Abstract
In this dissertation, we compute the dimension of the moduli space, of four generated indecomposable rank 2 arithmetically Cohen-Macaulay: ACM for short) bundles on a general sextic surface.
In Chapter One we introduce preliminaries and prove on a general sextic surface, every four generated indecomposable rank 2 ACM bundle belongs to one of fourteen cases. In Chapter Two we prove for each of the fourteen cases, there exists an indecomposable rank 2 ACM bundle of that case on a general sextic surface. In Chapter Three we compute for each case, the dimension of the moduli space of four generated indecomposable rank 2 ACM bundles of that case on a general sextic surface. We do the same analysis on four generated indecomposable rank 2 ACM bundles on a general quartic surface in Chapter Four.
Recommended Citation
Deng, Wei, "Four Generated Rank 2 Arithmetically Cohen-Macaulay Vector Bundles on General Sextic Surfaces" (2013). All Theses and Dissertations (ETDs). 1129.
https://openscholarship.wustl.edu/etd/1129
Comments
Permanent URL: http://dx.doi.org/10.7936/K7610XFF