Generation and syzygies of the first secant variety

Mathematics – Algebraic Geometry

Scientific paper

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There was an error in version 2. The degree bound for curves has been re-established, but the proof in higher dimensions has n

Scientific paper

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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