Linear systems representing threefolds which are scrolls on a rational surface.
Emilia Mezzetti, Dario Portelli (1998)
Collectanea Mathematica
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Emilia Mezzetti, Dario Portelli (1998)
Collectanea Mathematica
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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 (2008)
Rendiconti del Seminario Matematico della Università di Padova
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Ciliberto, Ciro, Mendes Lopes, Margarida (2002)
Advances in Geometry
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Ballico, E., Cossidente, A. (1997)
Mathematica Pannonica
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Robin Hartshorne (2004)
Collectanea Mathematica
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We characterize the postulation character of arithmetically Gorenstein curves in P. We give conditions under which the curve can be realized in the form mH - K on some ACM surface. Finally, we complement a theorem by Watanabe by showing that any general arithmetically Gorenstein curve in P with arbitrary fixed postulation character can be obtained from a line by a series of ascending complete-intersection biliaisons.
Paolo Antonio Oliverio (2005)
Rendiconti del Seminario Matematico della Università di Padova
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A. Conte, J. P. Murre (1985)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Luis Giraldo, Ignacio Sols (1998)
Collectanea Mathematica
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Let S be a ruled surface in P3 with no multiple generators. Let d and q be nonnegative integers. In this paper we determine which pairs (d,q) correspond to the degree and irregularity of a ruled surface, by considering these surfaces as curves in a smooth quadric hypersurface in P5.