Syzygies of Veronese embeddings
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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.
Tex, 10 pages, revised version as accepted in Compositio Math
Tex, 10 pages, revised version as accepted in Compositio Math