Let be a field of characteristic zero and G be a finite group of automorphisms of projective plane over . Castelnuovo’s criterion implies that the quotient of projective plane by G is rational if the field is algebraically closed. In this paper we prove that is rational for an arbitrary field of characteristic zero.
@article{bwmeta1.element.doi-10_2478_s11533-013-0340-7,
author = {Andrey Trepalin},
title = {Rationality of the quotient of P2 by finite group of automorphisms over arbitrary field of characteristic zero},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {229-239},
zbl = {1288.14009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0340-7}
}
Andrey Trepalin. Rationality of the quotient of ℙ2 by finite group of automorphisms over arbitrary field of characteristic zero. Open Mathematics, Tome 12 (2014) pp. 229-239. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0340-7/
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