arXiv subjects

H. Santana

Publications and source records attributed to H. Santana.

2 recordsLinked to original sources

arXiv2026

Poincaré-Hopf Theorem for Isolated Determinantal Singularities

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 $X$.

math.GT↗

arXiv2026

Poincaré-Hopf Theorem for Isolated Determinantal Singularities

Let $X \subset\mathbb{P}^r$ be a projective $d$-variety with isolated determinantal singularities and $ω$ 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 Poincaré-Hopf index with the goal of proving a Poincaré-Hopf Type Theorem for $X$.

math.GT↗