Generic sections of essentially isolated determinantal singularities
Algebraic Geometry
2015-04-27 v1
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 a minimality theorem for the Milnor number of a generic hyperplane section of an EIDS, generalizing previous results by J. Snoussi in dimension . 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 L\^e D. T. concerning constancy of the Milnor number.
Keywords
Cite
@article{arxiv.1504.06518,
title = {Generic sections of essentially isolated determinantal singularities},
author = {Jean-Paul Brasselet and Nancy Chachapoyas and Maria A. S. Ruas},
journal= {arXiv preprint arXiv:1504.06518},
year = {2015}
}