J. Seade

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math.AG2026

Generic vector fields on isolated complex hypersurface germs

Diogo da Silva Machado, Jose Seade

We study holomorphic vector fields on isolated hypersurface singularities and derive global obstructions to the existence of holomorphic vector fields on compact singular varieties…

math.AG2026

Non-degenerate mixed maps and contact structures

InÃ¡cio Rabelo, JosÃ© Seade

We study the geometry and topology of real analytic maps $C^{n} \to C^{k}$ , where $n > k$ , regarded as mixed maps, defined below. Firstly, we give two natural familie…

math.AG2026

On the connectedness of the singular set of holomorphic foliations

Omegar Calvo-Andrade, MaurÃcio CorrÃªa, Marcos Jardim +1

Let $F$ be a singular holomorphic foliation of dimension $k > 1$ on a projective $n$ -manifold $X$ . Assume that the determinant of the normal sheaf of $F$ is ample…

math.AG2025

On the topology of complex map-germs and a general LÃª-Greuel formula

Consider a singular holomorphic map-germ $f : (X, 0) \to (C, 0)$ where $X$ is a singular complex analytic variety in $C^{N}$ , and another holomorphic map-ger…