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arXiv · 0809.4463

Generation and syzygies of the first secant variety

Peter Vermeire
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Abstract

Under certain effective positivity conditions, we show that the secant variety to a smooth variety satisfies $N_{3,p}$. For smooth curves, we provide the best possible effective bound on the degree $d$ of the embedding, $d\geq 2g+3+p$.

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Peter Vermeire. 2009-08-04. Generation and syzygies of the first secant variety. https://arxiv.org/abs/0809.4463

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