| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] COMSATS Inst Informat Technol, Dept Math, MA Jinnah Campus, Def Rd, Raiwind Rd, Lahore - Pakistan
[2] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat & Comp, Ave Trabalhador Saocarlense 400, Sao Carlos, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | MANUSCRIPTA MATHEMATICA; v. 159, n. 1-2, p. 269-278, MAY 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
A more general class than complete intersection singularities is the class of determinantal singularities. They are defined by the vanishing of all the minors of a certain size of an mxn-matrix. In this note, we consider G-finite determinacy of matrices defining a special class of determinantal varieties. They are called essentially isolated determinantal singularities (EIDS) and were defined by Ebeling and Gusein-Zade (Singul Appl 267:119-131, 2009). In this note, we prove that matrices parametrized by generic homogeneous forms of degree d define EIDS. It follows that G-finite determinacy of matrices holds in general. As a consequence, EIDS of a given type (m, n, t) holds in general. (AU) | |
| FAPESP's process: | 14/00304-2 - Singularities of differentiable mappings: theory and applications |
| Grantee: | Maria Aparecida Soares Ruas |
| Support Opportunities: | Research Projects - Thematic Grants |