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Embeddings of curves and surfaces

Published online by Cambridge University Press:  22 January 2016

Fabrizio Catanese ,
Marco Franciosi ,
Klaus Hulek  and
Miles Reid
Fabrizio Catanese
Affiliation:
Mathematisches Institut der Universität, Bunsenstrasse 3-5, D-37073 Göttingen, Germany, [email protected]
Marco Franciosi
Affiliation:
Scuola Normale Superiore, piazza dei Cavalieri 7, I-56126 Pisa, Italy, [email protected], [email protected]
Klaus Hulek
Affiliation:
Institut für Mathematik, Univ. Hannover, Postfach 6009, D-30060 Hannover, Germany, [email protected]
Miles Reid
Affiliation:
Math Inst, Univ. of Warwick, Coventry CV4 7AL, England, [email protected]
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Abstract

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We prove a general embedding theorem for Cohen-Macaulay curves (possibly nonreduced), and deduce a cheap proof of the standard results on pluricanonical embeddings of surfaces, assuming vanishing H1(2KX) = 0.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 154 , 1999 , pp. 185 - 220
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1999

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