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 3d-2. We conjecture that the converse holds. This is true for n=2 and for n=d=3.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- November 1998
- DOI:
- 10.48550/arXiv.math/9811131
- arXiv:
- arXiv:math/9811131
- Bibcode:
- 1998math.....11131O
- Keywords:
-
- Algebraic Geometry;
- 14M20;
- 14F17
- E-Print:
- Tex, 10 pages, revised version as accepted in Compositio Math