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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.14856 |
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| _version_ | 1866911715164160000 |
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| author | Frühbis-Krüger, Anne Santana, Hellen |
| author_facet | Frühbis-Krüger, Anne Santana, Hellen |
| contents | In this work, we investigate the connections between the local Euler obstruction and the Poincaré-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_14856 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Euler obstruction of a $1$-form on a determinantal singularity Frühbis-Krüger, Anne Santana, Hellen Geometric Topology 32S05, 32S30, 32S50 In this work, we investigate the connections between the local Euler obstruction and the Poincaré-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. |
| title | The Euler obstruction of a $1$-form on a determinantal singularity |
| topic | Geometric Topology 32S05, 32S30, 32S50 |
| url | https://arxiv.org/abs/2605.14856 |