Syzygies of Veronese embeddings
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 3d2. We conjecture that the converse holds. This is true for n=2 and for n=d=3.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 November 1998
 DOI:
 10.48550/arXiv.math/9811131
 arXiv:
 arXiv:math/9811131
 Bibcode:
 1998math.....11131O
 Keywords:

 Algebraic Geometry;
 14M20;
 14F17
 EPrint:
 Tex, 10 pages, revised version as accepted in Compositio Math