The Euler obstruction of a $1$-form on a determinantal singularity

Anne Frühbis-Krüger; Hellen Santana

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arXiv · 2605.14856

The Euler obstruction of a $1$-form on a determinantal singularity

Anne Frühbis-Krüger·Hellen Santana

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Abstract

In this work, we investigate the connections between the local Euler obstruction and the Poincar\'e-Hopf-Nash (PHN) index of a $1$-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.

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Anne Frühbis-Krüger, Hellen Santana. 2026-05-14. The Euler obstruction of a $1$-form on a determinantal singularity. https://arxiv.org/abs/2605.14856

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