Equisingularity, Multiplicity, and Dependence
| dc.creator | Kleiman, S L | |
| dc.date | 1998-05-13 | |
| dc.date.accessioned | 2026-07-07T05:24:45Z | |
| dc.date.available | 2026-07-07T05:24:45Z | |
| dc.description | This is a report on some recent work by Gaffney, Massey, and the author, characterizing the conditions A_f and W_f for a family of ICIS germs equipped with a function. First we introduce the work informally. Then we review the formal definitions of A_f and W_f, and state the theorems that characterize them by the constancy of Milnor numbers. Next we review the definition of the Buchsbaum-Rim multiplicity, and reformulate the theorems by the constancy of certain Buchsbaum-Rim multiplicities. Finally, we review the theory of integral dependence of elements on submodules of free modules, and apply it to prove the reformulated theorems. | |
| dc.description | 15 pages, PLAIN TeX (with switches for AFour, 2-across) | |
| dc.identifier | https://arxiv.org/abs/math/9805062 | |
| dc.identifier | http://arxiv.org/abs/math/9805062 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76927 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Equisingularity, Multiplicity, and Dependence | |
| dc.type | text |