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Syzygies of Veronese embeddings

Giorgio Ottaviani·Raffaella Paoletti
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Abstract

We prove that the Veronese embedding of P^n of degree d with n\ge 2, d\ge 3 does not satisfy property N_p (according to Green and Lazarsfeld) if p\ge 3d-2. We conjecture that the converse holds. This is true for n=2 and for n=d=3.

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Giorgio Ottaviani, Raffaella Paoletti. 2000-01-15. Syzygies of Veronese embeddings. https://arxiv.org/abs/math/9811131

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