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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Kazuhiro Konno (1995)
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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Konno, K. (2000)
Portugaliae Mathematica
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A. Conte, J. P. Murre (1985)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Ulf Persson (1981)
Compositio Mathematica
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Margarida Mendes Lopes, Rita Pardini (2004)
Annales scientifiques de l'École Normale Supérieure
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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.