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arXiv · 1205.6671

Quasi-Stability versus Genericity

Amir Hashemi·Michael Schweinfurter·Werner M. Seiler
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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.

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Amir Hashemi, Michael Schweinfurter, Werner M. Seiler. 2012-05-30. Quasi-Stability versus Genericity. https://arxiv.org/abs/1205.6671

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