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oai:www.ideals.illinois.edu:2142/86776 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Steven Bradlow William Haboush Hyeon, Donghoon 2015-09-28T15:19:29Z 2015-09-28T15:19:29Z 10000-01-01 2001 2001 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. Made available in DSpace on 2015-09-28T15:19:29Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3017110.pdf: 5226727 bytes, checksum: 25ec7c8eaf4a27772f045f11336fa30e (MD5) Previous issue date: 2001 Embargo set by: Seth Robbins for item 88057 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 131 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001. http://hdl.handle.net/2142/86776 (MiAaPQ)AAI3017110 eng Mathematics Moduli Questions for Augmented Bundles text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.