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arxiv: 0809.4463 · v3 · submitted 2008-09-25 · 🧮 math.AG · math.AC

Generation and syzygies of the first secant variety

classification 🧮 math.AG math.AC
keywords varietyeffectivesecantsmoothbestboundcertainconditions
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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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