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arXiv · 1504.06518

Generic sections of essentially isolated determinantal singularities

Jean-Paul Brasselet·Nancy Chachapoyas·Maria A. S. Ruas
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Abstract

We study the essentially isolated determinantal singularities (EIDS), defined by W. Ebeling and S. Gusein-Zade, as a generalization of isolated singularity. We prove in dimension $3$ a minimality theorem for the Milnor number of a generic hyperplane section of an EIDS, generalizing previous results by J. Snoussi in dimension $2$. We define strongly generic hyperplane sections of an EIDS and show that they are still EIDS. Using strongly general hyperplanes, we extend a result of Lê D. T. concerning constancy of the Milnor number.

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Jean-Paul Brasselet, Nancy Chachapoyas, Maria A. S. Ruas. 2015-04-24. Generic sections of essentially isolated determinantal singularities. https://arxiv.org/abs/1504.06518

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