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arxiv: 0806.3056 · v3 · pith:JTE64K2Wnew · submitted 2008-06-18 · 🧮 math.AG · math.AC

Syzygies of the secant variety of a curve

classification 🧮 math.AG math.AC
keywords secantvarietycurvearithmeticallybetticohen-macaulaydegreegraded
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We show that 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.

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