|
|||||
|
|
Some numerical invariants of local rings |
|
| Authors: | Josep À lvarez Montaner |
| Affiliation: | Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Avinguda Diagonal 647, Barcelona 08028, Spain |
| Abstract: | Let  be a formal power series ring over a field of characteristic zero and  any ideal. The aim of this work is to introduce some numerical invariants of the local rings  by using the theory of algebraic  -modules. More precisely, we will prove that the multiplicities of the characteristic cycle of the local cohomology modules  and  , where  is any prime ideal that contains  , are invariants of  . |
| Keywords: | Local cohomology $mathcal{D}$-modules |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |