Poincaré-Hopf Theorem for Isolated Determinantal Singularities
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911657038446592 |
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| author | Grulha Jr., N. G. Pereira, M. S. Santana, H. |
| author_facet | Grulha Jr., N. G. Pereira, M. S. Santana, H. |
| contents | Let $X$ be a projective algebraic $d$-variety endowed with isolated determinantal singularities, and let $ω$ be a $1$-form on $X$ exhibiting a finite number of singularities (in the stratified sense). Under some technical conditions, we use two generalizations of Poincaré-Hopf index with the goal of proving a Poincaré-Hopf Type Theorem for $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06041 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Poincaré-Hopf Theorem for Isolated Determinantal Singularities Grulha Jr., N. G. Pereira, M. S. Santana, H. Geometric Topology Let $X$ be a projective algebraic $d$-variety endowed with isolated determinantal singularities, and let $ω$ be a $1$-form on $X$ exhibiting a finite number of singularities (in the stratified sense). Under some technical conditions, we use two generalizations of Poincaré-Hopf index with the goal of proving a Poincaré-Hopf Type Theorem for $X$. |
| title | Poincaré-Hopf Theorem for Isolated Determinantal Singularities |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2605.06041 |