Restricting linear syzygies: algebra and geometry
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Combinatorics
Abstract
In this paper we derive geometric consequences from the presence of a long strand of linear syzygies in the minimal free resolution of a closed scheme in projective space whose homogeneous ideal is generated by quadrics. These consequences are given in terms of intersections with arbitrary linear subspaces. We use our results to bound homological invariants of some well-known projective varieties, to give a combinatorial characterization of quadratic monomial ideals with a long strand of linear syzygies, etc
Cite
@article{arxiv.math/0404516,
title = {Restricting linear syzygies: algebra and geometry},
author = {David Eisenbud and Mark Green and Klaus Hulek and Sorin Popescu},
journal= {arXiv preprint arXiv:math/0404516},
year = {2007}
}
Comments
26 pages, Plain TeX + diagrams.tex