Syzygies of Veronese embeddings
Algebraic Geometry
2007-05-23 v2
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.
Cite
@article{arxiv.math/9811131,
title = {Syzygies of Veronese embeddings},
author = {Giorgio Ottaviani and Raffaella Paoletti},
journal= {arXiv preprint arXiv:math/9811131},
year = {2007}
}
Comments
Tex, 10 pages, revised version as accepted in Compositio Math