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Key varieties for surfaces of general type
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Coughlan, Stephen Thomas (2008) Key varieties for surfaces of general type. PhD thesis, University of Warwick.
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WRAP_THESIS_Coughlan_2008.pdf - Requires a PDF viewer. Download (535Kb) |
Official URL: http://webcat.warwick.ac.uk/record=b2279408~S15
Abstract
The study of canonical models of surfaces of general type is a subject which has been of interest for many years, since the time of Enriques. The major question is: given particular values of pg and K2 can one construct the moduli space of regular surfaces with these invariants? In particular, we want to study surfaces with pg = 0 and K2 = 1. The first example of such a surface was due to L. Godeaux [G], constructed as the quotient of a quintic surface in P3 by a free Z/5 group action. Surfaces with these invariants are called (numerical) Godeaux surfaces.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Surfaces, Algebraic, Elliptic surfaces, Surfaces, Models of, Geometry, Algebraic | ||||
Official Date: | December 2008 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Reid, Miles (Miles A.) | ||||
Format of File: | |||||
Extent: | 87 leaves : charts | ||||
Language: | eng |
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