Restricting linear syzygies: algebra and geometry
代数几何
2007-05-23 v1 交换代数
组合数学
摘要
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
引用
@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}
}
备注
26 pages, Plain TeX + diagrams.tex