On Gorenstein Surfaces Dominated by P²

2001/12/21 by R. V. Gurjar, Gurjar, R. V., C. R. Pradeep +3 · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0112242

Nagoya Mathematical Journal, to appear

arxiv created 2001/12/21 · arxiv updated 2009/11/30

Abstract

In this paper we prove that a normal Gorenstein surface dominated by the projective plane P² is isomorphic to a quotient P²/G, where G is a finite group of automorphisms of P² (except possibly for one surface V₈'). We can completely classify all such quotients. Some natural conjectures when the surface is not Gorenstein are also stated.

Cited by

• Endomorphisms of singular del Pezzo surfaces
• Endomorphisms of rank one Gorenstein del Pezzo surfaces

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