On Gorenstein Surfaces Dominated by P^2
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.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- December 2001
- DOI:
- 10.48550/arXiv.math/0112242
- arXiv:
- arXiv:math/0112242
- Bibcode:
- 2001math.....12242G
- Keywords:
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- Algebraic Geometry
- E-Print:
- Nagoya Mathematical Journal, to appear