Quasi-stability versus genericity
作者： Amir Hashemi , Michael Schweinfurter , Werner M. Seiler
DOI: 10.1007/978-3-642-32973-9_14
关键词: Local cohomology 、 Betti number 、 Quotient 、 Discrete mathematics 、 Contrast (statistics) 、 Pure mathematics 、 Property (philosophy) 、 Ideal (set theory) 、 Stability (probability) 、 Monomial ideal 、 Mathematics
摘要: Quasi-stable ideals appear as leading in the theory of Pommaret bases. We show that quasi-stable share many properties generic initial ideal. In contrast to genericity, quasi-stability is a characteristic independent property can be effectively verified. also relate bases some invariants associated with local cohomology, exhibit existence linear quotients and prove results on componentwise ideals.
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