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