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2009 Syzygies of the secant variety of a curve
Jessica Sidman, Peter Vermeire
Algebra Number Theory 3(4): 445-465 (2009). DOI: 10.2140/ant.2009.3.445

Abstract

We show the secant variety of a linearly normal smooth curve of degree at least 2g+3 is arithmetically Cohen–Macaulay, and we use this information to study the graded Betti numbers of the secant variety.

Citation

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Jessica Sidman. Peter Vermeire. "Syzygies of the secant variety of a curve." Algebra Number Theory 3 (4) 445 - 465, 2009. https://doi.org/10.2140/ant.2009.3.445

Information

Received: 1 September 2008; Revised: 1 April 2009; Accepted: 29 April 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1169.13304
MathSciNet: MR2525559
Digital Object Identifier: 10.2140/ant.2009.3.445

Subjects:
Primary: 13D02
Secondary: 14F05 , 14H99 , 14N05

Keywords: graded Betti numbers , projective curves , secant varieties , Syzygies

Rights: Copyright © 2009 Mathematical Sciences Publishers

Vol.3 • No. 4 • 2009
MSP
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