Curves with high self-intersection on algebraic surfaces
Robin Hartshorne (1969)
Publications Mathématiques de l'IHÉS
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Robin Hartshorne (1969)
Publications Mathématiques de l'IHÉS
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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.
Kazuhiro Konno (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Emilia Mezzetti, Dario Portelli (1998)
Collectanea Mathematica
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Piotr Blass (1982)
Compositio Mathematica
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Marco Manetti (1993)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Ciliberto, Ciro, Mendes Lopes, Margarida (2002)
Advances in Geometry
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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.
Ulf Persson (1981)
Compositio Mathematica
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