Equations and syzygies of the first secant variety to a smooth curve

Vermeire, Peter

doi:10.1090/S0002-9939-2011-11392-3

Equations and syzygies of the first secant variety to a smooth curve
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Proc. Amer. Math. Soc. 140 (2012), 2639-2646 Request permission

Abstract:

We show that if $C$ is a linearly normal smooth curve embedded by a line bundle of degree at least $2g+3+p$, then the secant variety to the curve satisfies $N_{3,p}$.

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