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Key varieties for surfaces of general type

By Stephen Thomas Coughlan

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

Topics: QA
OAI identifier: oai:wrap.warwick.ac.uk:1950

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