Quasi-Stability versus Genericity
Symbolic Computation
2012-05-31 v1 Commutative Algebra
Algebraic Geometry
Rings and Algebras
Abstract
Quasi-stable ideals appear as leading ideals in the theory of Pommaret bases. We show that quasi-stable leading ideals share many of the properties of the generic initial ideal. In contrast to genericity, quasi-stability is a characteristic independent property that can be effectively verified. We also relate Pommaret bases to some invariants associated with local cohomology, exhibit the existence of linear quotients in Pommaret bases and prove some results on componentwise linear ideals.
Cite
@article{arxiv.1205.6671,
title = {Quasi-Stability versus Genericity},
author = {Amir Hashemi and Michael Schweinfurter and Werner M. Seiler},
journal= {arXiv preprint arXiv:1205.6671},
year = {2012}
}
Comments
13 pages, to appear in the proceedings of the CASC'12 conference (Maribor, Slovenia 2012)