## Nagoya Mathematical Journal

### On Gorenstein surfaces dominated by {${\bf P}\sp 2$}

#### Abstract

In this paper we prove that a normal Gorenstein surface dominated by $\mathbf{P}2$ is isomorphic to a quotient $\mathbf{P}^2/G$, where $G$ is a finite group of automorphisms of $\mathbf{P}^2$ (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.

#### Article information

Source
Nagoya Math. J., Volume 168 (2002), 41-63.

Dates
First available in Project Euclid: 27 April 2005

https://projecteuclid.org/euclid.nmj/1114631779

Mathematical Reviews number (MathSciNet)
MR1942393

Zentralblatt MATH identifier
1088.14009

Subjects
Primary: 14J26: Rational and ruled surfaces

#### Citation

Gurjar, R. V.; Pradeep, C. R.; Zhang, D.-Q. On Gorenstein surfaces dominated by {${\bf P}\sp 2$}. Nagoya Math. J. 168 (2002), 41--63. https://projecteuclid.org/euclid.nmj/1114631779

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