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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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.
Alexei N. Skorobogatov (1993)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Fedor Bogomolov, Yuri Prokhorov (2013)
Open Mathematics
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We discuss the problem of stable conjugacy of finite subgroups of Cremona groups. We compute the stable birational invariant H 1(G, Pic(X)) for cyclic groups of prime order.
Alessio Corti (1991)
Annales scientifiques de l'École Normale Supérieure
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K. Hulek, C. Okonek, A. Van de Ven (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Kazuhiro Konno (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Robin Hartshorne (1969)
Publications Mathématiques de l'IHÉS
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