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.
","abstract_html":"<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>","abstract_has_math":false,"creators":["Deng, Wei"],"institution":null,"degree_name":"Doctor of Philosophy (PhD)","degree_level":"Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Mohan Kumar"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013-08-30T07:00:00Z","date_published":"2013-08-30T07:00:00Z","updated_at":"2026-07-24T06:13:05Z","subjects":["ACM","Arithmetically","Cohen-Macaulay","Rank 2"],"languages":["English (en)"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier.doi","label":"DOI","values":["https://doi.org/10.7936/K7610XFF"],"render_values":[{"text":"https://doi.org/10.7936/K7610XFF","href":"https://doi.org/10.7936/K7610XFF","code":true}]}]},"links":{"outbound_url":"https://openscholarship.wustl.edu/etd/1129","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Mohan Kumar"]},{"key":"dc:creator","label":"Author","values":["Deng, Wei"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2014-03-10T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy (PhD)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["ACM","Arithmetically","Cohen-Macaulay","Rank 2"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English (en)"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://openscholarship.wustl.edu/etd/1129"]},{"key":"dc:identifier.doi","label":"DOI","values":["https://doi.org/10.7936/K7610XFF"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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.
"]},{"key":"dc:title","label":"Title","values":["Four Generated Rank 2 Arithmetically Cohen-Macaulay Vector Bundles on General Sextic Surfaces"]}]}],"canonical_facts":{"dc:contributor":["Mohan Kumar"],"dc:creator":["Deng, Wei"],"dc:date.available":["2014-03-10T07:00:00Z"],"dc:description.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.
"],"dc:identifier":["https://openscholarship.wustl.edu/etd/1129"],"dc:identifier.doi":["https://doi.org/10.7936/K7610XFF"],"dc:language":["English (en)"],"dc:subject":["ACM","Arithmetically","Cohen-Macaulay","Rank 2"],"dc:title":["Four Generated Rank 2 Arithmetically Cohen-Macaulay Vector Bundles on General Sextic Surfaces"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Doctor of Philosophy (PhD)"]},"updated_at":"2026-07-24T06:13:05Z"}