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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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Official URL: http://webcat.warwick.ac.uk/record=b2279408~S15

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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)
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:
DateEvent
December 2008Submitted
Institution: University of Warwick
Theses Department: Mathematics Institute
Thesis Type: PhD
Publication Status: Unpublished
Supervisor(s)/Advisor: Reid, Miles (Miles A.)
Format of File: pdf
Extent: 87 leaves : charts
Language: eng

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