Coughlan, Stephen Thomas (2008) Key varieties for surfaces of general type. PhD thesis, University of Warwick.

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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 or Dissertation (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:	Date Event December 2008 Submitted
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Publication Status:	Unpublished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
URI:	http://wrap.warwick.ac.uk/id/eprint/1950

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