The Clifford dimension of a projective curve
David Eisenbud, Herbert Lange, Gerriet Martens, Frank-Olaf Schreyer (1989)
Compositio Mathematica
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David Eisenbud, Herbert Lange, Gerriet Martens, Frank-Olaf Schreyer (1989)
Compositio Mathematica
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Dan Abramovich, Joe Harris (1991)
Compositio Mathematica
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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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Monnier, Jean-Philippe (2003)
Advances in Geometry
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Alberto Dolcetti (1988)
Bulletin de la Société Mathématique de France
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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.
Olivier Debarre, Rachid Fahlaoui (1993)
Compositio Mathematica
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