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


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.


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R. V. Gurjar. C. R. Pradeep. D.-Q. Zhang. "On Gorenstein surfaces dominated by {${\bf P}\sp 2$}." Nagoya Math. J. 168 41 - 63, 2002.


Published: 2002
First available in Project Euclid: 27 April 2005

zbMATH: 1088.14009
MathSciNet: MR1942393

Primary: 14J26
Secondary: 14E20

Rights: Copyright © 2002 Editorial Board, Nagoya Mathematical Journal

Vol.168 • 2002
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