Poincar\'e-Hopf Theorem for Isolated Determinantal Singularities

N. G. Grulha Jr.; M. S. Pereira; H. Santana

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arXiv · 2007.05026

Poincar\'e-Hopf Theorem for Isolated Determinantal Singularities

N. G. Grulha Jr.·M. S. Pereira·H. Santana

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Abstract

Let $X \subset\mathbb{P}^r$ be a projective $d$-variety with isolated determinantal singularities and $\omega$ be a $1$-form on $X$ with a finite number of singularities (in the stratified sense). Under some technical conditions on $r$ we use two generalization of Poincar\'e-Hopf index with the goal of proving a Poincar\'e-Hopf Type Theorem for $X$.

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BibTeX RIS

N. G. Grulha Jr., M. S. Pereira, H. Santana. 2020-07-09. Poincar\'e-Hopf Theorem for Isolated Determinantal Singularities. https://arxiv.org/abs/2007.05026

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