Multigraded regularity: syzygies and fat points
交换代数
2012-01-25 v3 代数几何
摘要
The Castelnuovo-Mumford regularity of a graded ring is an important invariant in computational commutative algebra, and there is increasing interest in multigraded generalizations. We study connections between two recent definitions of multigraded regularity with a view towards a better understanding of the multigraded Hilbert function of fat point schemes in P^{n_1} x ... x P^{n_k}.
引用
@article{arxiv.math/0405247,
title = {Multigraded regularity: syzygies and fat points},
author = {Jessica Sidman and Adam Van Tuyl},
journal= {arXiv preprint arXiv:math/0405247},
year = {2012}
}
备注
AMS LaTex, 20 pages. v2: Revised with several small corrections. Some changes in references; v3: Small changes to Prop. 2.2 and Cor. 2.3, short appendix added. To appear in Beitr\"age Algebra Geom