Four Generated Rank 2 Arithmetically Cohen-Macaulay Vector Bundles on General Sextic Surfaces

<p>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.</p><p>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.</p>

Name thesis:degree_name

Doctor of Philosophy (PhD)

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Year dc:date.available

2013

Author dc:creator

• Deng, Wei

Contributors dc:contributor

• Mohan Kumar

• ACM
• Arithmetically
• Cohen-Macaulay
• Rank 2

Language dc:language

English (en)

DOI

https://doi.org/10.7936/K7610XFF

OAI identifier oai:identifier

oai:openscholarship.wustl.edu:etd-2129