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On the Regularity of Powers of Ideal Sheaves

Published online by Cambridge University Press:  04 December 2007

Peter Vermeire
Peter Vermeire
Affiliation:
Department of Mathematics, Oklahoma State University, Stillwater, OK 74078, U.S.A. E-mail: petvermi@math.okstate.edu
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Abstract

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We use the geometry of the secant variety to an embedded smooth curve to prove some vanishing and regularity theorems for powers of ideal sheaves.

Keywords

vanishing theoremssecant varietiesideal sheavesregularity
Type
Research Article
Information
Compositio Mathematica , Volume 131 , Issue 2 , April 2002 , pp. 161 - 172
Copyright
© 2002 Kluwer Academic Publishers