The Euler obstruction of a $1$-form on a determinantal singularity
Geometric Topology
2026-05-26 v4
Abstract
In this work, we investigate the connections between the local Euler obstruction and the Poincar\'e-Hopf-Nash (PHN) index of a -form in the setting of determinantal singularities. As an application, we provide explicit computations of the Euler obstruction of a function with a stratified isolated singularity at the origin defined on an IDS with rigid singularities.
Cite
@article{arxiv.2605.14856,
title = {The Euler obstruction of a $1$-form on a determinantal singularity},
author = {Anne Frühbis-Krüger and Hellen Santana},
journal= {arXiv preprint arXiv:2605.14856},
year = {2026}
}