Equisingularity of sections, $(t^r)$ condition, and the integral closure of modules
| dc.creator | Gaffney, Terence | |
| dc.creator | Trotman, David | |
| dc.creator | Wilson, Leslie | |
| dc.date | 2005-08-30 | |
| dc.date.accessioned | 2026-07-07T05:22:48Z | |
| dc.date.available | 2026-07-07T05:22:48Z | |
| dc.description | This paper uses the theory of integral closure of modules to study the sections of both real and complex analytic spaces. The stratification conditions used are the (t^) conditions introduced by Thom and Trotman. Our results include a new simple proof showing how the (t^r) conditions improve under Grassman modification, and a characterization of the (t^r) conditions using the multiplicity of a submodule of the Jacobian module of the singularity. This gives numerical criteria for Verdier Equisingularity of families of sections of the space. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/math/0508615 | |
| dc.identifier | http://arxiv.org/abs/math/0508615 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76201 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | 32S60; 14B05, 32S15, 14P05 | |
| dc.title | Equisingularity of sections, $(t^r)$ condition, and the integral closure of modules | |
| dc.type | text |