Euler obstruction of essentially isolated determinantal singularities
Nancy Carolina Chachapoyas Siesqu\'en
TL;DR
This paper investigates the Euler obstruction of essentially isolated determinantal singularities (EIDS), providing formulas for calculating the Euler obstruction in cases where the singular set is an ICIS, thus generalizing previous concepts.
Contribution
It introduces formulas to compute the Euler obstruction for determinantal varieties with ICIS singular sets, expanding understanding of EIDS.
Findings
Formulas for Euler obstruction calculation in EIDS.
Generalization of isolated singularity concepts.
Application to determinantal varieties with ICIS.
Abstract
We study the Euler obstruction of essentially isolated determinantal singularities (EIDS). The EIDS were defined by W. Ebeling and S. Gusein-Zade, as a generalization of isolated singularity. We obtain some formulas to calculate the Euler obstruction for the determinantal varieties with singular set an ICIS.
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