On the vanishing and the positivity of intersection multiplicities over local rings with small non complete intersection loci

Author:

Kurano Kazuhiko

Abstract

Throughout this paperAis a commutative Noetherian ring of dimensiondwith the maximal ideal m and we assume that there exists a regular local ringSsuch thatAis a homomorphic image ofS, i.e.,A=S/Ifor some idealIofS. Furthermore we assume thatAis equi-dimensional, i.e., dimA= dimA/for any minimal prime idealofA. We put.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference17 articles.

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The grade conjecture and asymptotic intersection multiplicity;Proceedings of the American Mathematical Society;2014-08-14

2. On maps of Grothendieck groups induced by completion;Journal of Algebra;2002-08

3. On Roberts rings;Journal of the Mathematical Society of Japan;2001-04-01

4. Roberts Rings And Dutta Multiplicities;Geometric And Combinatorial Aspects Of Commutative Algebra;2001-03-06

5. Adams operations, localized Chern characters, and the positivity of Dutta multiplicity in characteristic $0$;Transactions of the American Mathematical Society;2000-02-25

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