English

On Gorenstein Surfaces Dominated by P^2

Algebraic Geometry 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0112242,
  title  = {On Gorenstein Surfaces Dominated by P^2},
  author = {R. V. Gurjar and C. R. Pradeep and D. -Q. Zhang},
  journal= {arXiv preprint arXiv:math/0112242},
  year   = {2007}
}

Comments

Nagoya Mathematical Journal, to appear