On Briançon-Skoda theorem for foliations

DOI10.1016/j.exmath.2023.07.001arXiv2207.11197WikidataQ123235917 ScholiaQ123235917MaRDI QIDQ6149193

Arturo Fernández-Pérez, Evelia Rosa García Barroso, Nancy Saravia-Molina

Publication date: 5 February 2024

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.11197

zbMATH Keywords

Milnor numberBriançon-Skoda theoremholomorphic foliationsTjurina number

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Invariants of analytic local rings (32S10)

Cites Work

• Problèmes de modules pour des équations différentielles non linéaires du premier ordre
• Modules de feuilletages holomorphes singuliers. I: équisingularité. (Modules of singular holomorphic foliations. I: Equisingularity)
• Topological invariants and equidesingularization for holomorphic vector fields
• Pseudo-rational local rings and a theorem of Briancon-Skoda about integral closures of ideals
• Some remarks on indices of holomorphic vector fields
• Milnor and Tjurina numbers for a hypersurface germ with isolated singularity
• Local polar invariants and the Poincaré problem in the dicritical case
• Quasihomogeneous isolated singularities of hyperplanes.
• Application of the theory of the discriminant to highly singular plane curves
• Rigidity for dicritical germ of foliation in ℂ2
• Reduction of Singularities of the Differential Equation Ady = Bdx
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