Poincar\'e-Hopf Theorem for Isolated Determinantal Singularities

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

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arXiv · 2605.06041

Poincar\'e-Hopf Theorem for Isolated Determinantal Singularities

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

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Abstract

Let $X$ be a projective algebraic $d$-variety endowed with isolated determinantal singularities, and let $\omega$ 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 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. 2026-05-07. Poincar\'e-Hopf Theorem for Isolated Determinantal Singularities. https://arxiv.org/abs/2605.06041

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