| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] COMSATS Inst Informat Technol, Dept Math, Lahore - Pakistan
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | HOUSTON JOURNAL OF MATHEMATICS; v. 37, n. 3, p. 773-786, 2011. |
| Web of Science Citations: | 1 |
| Abstract | |
We study holomorphic function germs under equivalence relations that preserve an analytic variety. We show that two quasihomogeneous polynomials, not necessarily with isolated singularities, having isomorphic relative Milnor algebras are relative right equivalent. Under the condition that the module of vector fields tangent to the variety is finitely generated, we also show that the relative Tjurina algebra is a complete invariant for the classification of arbitrary function germs with respect to the relative contact equivalence. This is the relative version of a well known result by Mather and Yau. (AU) | |
| FAPESP's process: | 08/54222-6 - Singularities, geometry and differential equations |
| Grantee: | Maria Aparecida Soares Ruas |
| Support Opportunities: | Research Projects - Thematic Grants |