paper

Resolutions of Segre embeddings of projective spaces of any dimension

arXiv:math/0404417

Abstract

This paper deals with syzygies of Segre embeddings. Let d >=3 and n_1, ..., n_d nonzero natural numbers. We prove that O(1,...., 1) on the product of P^{n_1}, ...,P^{n_d} satisfies Property N_p if and only if p <= 3.

9 pages, textwidth 15cm textheight 22,3 cm, 1 figure