Nilpotents, Integral Closure and Equisingularity conditions
| dc.creator | Gaffney, Terence | |
| dc.date | 2005-07-28 | |
| dc.date.accessioned | 2026-07-07T05:22:05Z | |
| dc.date.available | 2026-07-07T05:22:05Z | |
| dc.description | In earlier work, the author described various stratification conditions for a complex analytic set X in terms of the theory of integral closure of modules. However, even if an analytic set has a reduced structure, often geometric operations like intersection give a non-reduced structure on the resulting analytic space. In this note we show that it is not necessary for X to have a reduced structure to apply the earlier integral closure results. As an application we give a simple proof of a necessary and sufficient condition for the Whitney conditions to pass to the intersection of X with a hyperplane containing the smooth stratum Y, and for this intersection to be "typical". In the case where X is a family of ICIS singularities, we show the condition on H at a point y of Y depends only on the fiber of the family over y. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0507595 | |
| dc.identifier | http://arxiv.org/abs/math/0507595 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75929 | |
| dc.subject | Complex Variables | |
| dc.subject | Commutative Algebra | |
| dc.subject | 32S15,14B05,13H15 | |
| dc.title | Nilpotents, Integral Closure and Equisingularity conditions | |
| dc.type | text |