Secant spaces and Clifford's theorem
Marc Coppens, Gerriet Martens (1991)
Compositio Mathematica
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Displaying similar documents to “The Clifford dimension of a projective curve”
Secant spaces and Clifford's theorem
Some examples of Gorenstein liaison in codimension three.
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...
Abelian varieties and curves in
Dan Abramovich, Joe Harris (1991)
Compositio Mathematica
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Curves of genus ten on K3 surfaces
Fernando Cukierman, Douglas Ulmer (1993)
Compositio Mathematica
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On the existence of k-normal curves of given degree and genus in projective spaces.
Edoardo Ballico, N. Chiarli, S. Greco (2004)
Collectanea Mathematica
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We find some ranges for the 4-tuples of integers (d,g,n,r) for which there is a smooth connected non-degenerate curve of degree d and genus g, which is k-normal for every k ≤ r.
Halphen's gaps for space curves of submaximum genus
Alberto Dolcetti (1988)
Bulletin de la Société Mathématique de France
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Curves of maximal genus in .
Ferraro, R. (2003)
Advances in Geometry
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Projectively normal curves defined by quadrics.
Mancini, Marina (2001)
Rendiconti del Seminario Matematico
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Gonality and Clifford index for real algebraic curves.
Edoardo Ballico (2002)
Collectanea Mathematica
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Let X be a smooth connected projective curve of genus g defined over R. Here we give bounds for the real gonality of X in terms of the complex gonality of X.