Abelian varieties and curves in
Dan Abramovich, Joe Harris (1991)
Compositio Mathematica
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Dan Abramovich, Joe Harris (1991)
Compositio Mathematica
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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.
J. Huisman (2001)
Revista Matemática Complutense
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We show that there is a large class of nonspecial effective divisors of relatively small degree on real algebraic curves having many real components i.e. on M-curves. We apply to 1. complete linear systems on M-curves containing divisors with entirely real support, and 2. morphisms of M-curves into P1.
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 (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.
Huisman, Johannes (2003)
Advances in Geometry
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Marc Coppens, Gerriet Martens (1991)
Compositio Mathematica
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David Eisenbud, Joe Harris (1989)
Annales scientifiques de l'École Normale Supérieure
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