#### Vol. 3, No. 4, 2009

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Syzygies of the secant variety of a curve

### Jessica Sidman and Peter Vermeire

Vol. 3 (2009), No. 4, 445–465
##### 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.

##### Keywords
syzygies, secant varieties, projective curves, graded Betti numbers
##### Mathematical Subject Classification 2000
Primary: 13D02
Secondary: 14N05, 14H99, 14F05