Divisors on real curves.
Monnier, Jean-Philippe (2003)
Advances in Geometry
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Monnier, Jean-Philippe (2003)
Advances in Geometry
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Johannes Huisman (2002)
Revista Matemática Complutense
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Let C ⊆ P be an unramified nonspecial real space curve having many real branches and few ovals. We show that C is a rational normal curve if n is even, and that C is an M-curve having no ovals if n is odd.
Edoardo Ballico (1993)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Here we prove a numerical bound implying that, except for smooth plane conics in characteristic 2, no complete linear system maps birationally a smooth curve into a projective space with a strange curve as image.
Notari, R. (1999)
Rendiconti del Seminario Matematico
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Ballico, E. (2000)
Mathematica Pannonica
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Carvalho, Cícero F. (1999)
International Journal of Mathematics and Mathematical Sciences
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Robin Hartshorne (2002)
Collectanea Mathematica
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Gorenstein liaison seems to be the natural notion to generalize to higher codimension the well-known results about liaison of varieties of codimension 2 in projective space. In this paper we study points in P3 and curves in P4 in an attempt to see how far typical codimension 2 results will extend. While the results are satisfactory for small degree, we find in each case examples where we cannot decide the outcome. This examples are candidates for counterexamples to the hoped-for extensions...
Edoardo Ballico (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Rita Pardini (1986)
Compositio Mathematica
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Laface, Antonio, Ugaglia, Luca (2004)
Advances in Geometry
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