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Rationality of the quotient of ℙ2 by finite group of automorphisms over arbitrary field of characteristic zero

✍ Scribed by Trepalin, Andrey

Book ID: 121602337
Publisher: Walter de Gruyter GmbH
Year: 2014
Tongue: English
Weight: 901 KB
Volume: 12
Category: Article
ISSN: 2391-5455
DOI: 10.2478/s11533-013-0340-7

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## Abstract Let $$\Bbbk$$ be a field of characteristic zero and G be a finite group of automorphisms of projective plane over $$\Bbbk$$. Castelnuovo’s criterion implies that the quotient of projective plane by G is rational if the field $$\Bbbk$$ is algebraically closed. In this paper we prove that

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