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Syzygies of Veronese embeddings

Giorgio Ottaviani, Raffaella Paoletti

math.AGarXiv:math/9811131

Abstract

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

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