Files in this item

FilesDescriptionFormat

application/pdf

application/pdf3017110.pdf (5MB)Restricted to U of Illinois
(no description provided)PDF

Description

Title:Moduli Questions for Augmented Bundles
Author(s):Hyeon, Donghoon
Doctoral Committee Chair(s):Steven Bradlow; William Haboush
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:This thesis consists of three parts. In the first part, we construct the moduli scheme for principal bundles over an arbitrary projective scheme. In the second, we establish a bijective correspondence between the analytic master space and the algebraic master space for Bradlow pairs. We also consider the master stack for Bradlow pairs, and show that it is a nontrivial line bundle over the moduli stack. In the third, we prove that the stability for certain augmented bundles is preserved by the direct image functor when the covering is etale. Also, we study the relation between the spectral curve associated to a Higgs bundle and the spectral curve associated to the direct image of it.
Issue Date:2001
Type:Text
Language:English
Description:131 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.
URI:http://hdl.handle.net/2142/86776
Other Identifier(s):(MiAaPQ)AAI3017110
Date Available in IDEALS:2015-09-28
Date Deposited:2001


This item appears in the following Collection(s)

Item Statistics