Rational surfaces over perfect fields (résumé anglais)
Jurii I. Manin (1966)
Publications Mathématiques de l'IHÉS
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Jurii I. Manin (1966)
Publications Mathématiques de l'IHÉS
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Robin Hartshorne (1969)
Publications Mathématiques de l'IHÉS
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R. V. Gurjar, A. J. Parameswaran (1995)
Compositio Mathematica
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Lucian Badescu (1986)
Journal für die reine und angewandte Mathematik
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Lawrence Brenton (1981)
Compositio Mathematica
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Piotr Blass (1982)
Compositio Mathematica
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Marc N. Levine, V. Srinivas (1984)
Compositio Mathematica
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Andrey Trepalin (2014)
Open Mathematics
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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.