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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B. Eh. Kunyavskij, A. N. Skorobogatov, M. A. Tsfasman (1989)
Mémoires de la Société Mathématique de France
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Marco Manetti (1993)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Biswas, Indranil, Huisman, Johannes (2007)
Documenta Mathematica
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Bjorn Poonen (2009)
Journal of the European Mathematical Society
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Robin Hartshorne (1969)
Publications Mathématiques de l'IHÉS
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M. R. Gonzalez-Dorrego (2006)
Annales Polonici Mathematici
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Let k be an algebraically closed field of characteristic 0. Let C be an irreducible nonsingular curve in ℙⁿ such that 3C = S ∩ F, where S is a hypersurface and F is a surface in ℙⁿ and F has rational triple points. We classify the rational triple points through which such a curve C can pass (Theorem 1.8), and give an example (1.12). We only consider reduced and irreducible surfaces.
Oswald Riemenschneider, Ancus Röhr (1990)
Mathematische Annalen
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Margarita Mendes Lopes (2004)
Collectanea Mathematica
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In 1985 Xiao Gang proved that the bicanonical surface of a complex surface S of general type with p2(S) > 2 is not composed of a pencil. In this note a new proof of this theorem is presented.
N. I. Shepherd-Barron (1989)
Compositio Mathematica
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