On Gorenstein Surfaces Dominated by P^2

Details On Gorenstein Surfaces Dominated by P^2 On Gorenstein Surfaces Dominated by P^2

2001-12-21

arxiv.org/abs/math/0112242v1

Mathematics

Algebraic Geometry

Nagoya Mathematical Journal, to appear

Scientific paper

In this paper we prove that a normal Gorenstein surface dominated by the
projective plane P^2 is isomorphic to a quotient P^2/G, where G is a finite
group of automorphisms of P^2 (except possibly for one surface V_8'). We can
completely classify all such quotients. Some natural conjectures when the
surface is not Gorenstein are also stated.

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