Logarithmic forms and singular projective foliations

DOI10.5802/aif.3311zbMath1443.14014arXiv1803.05955OpenAlexW3028915518MaRDI QIDQ2184853

Javier Gargiulo Acea

Publication date: 2 June 2020

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.05955

zbMATH Keywords

moduli spaceslogarithmic formslogarithmic foliationssingular projective foliations

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75) Infinitesimal methods in algebraic geometry (14B10)

Related Items (2)

Toric foliations with split tangent sheaf ⋮ Logarithmic foliations

Cites Work

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• Equations de Pfaff algébriques
• On a generalization of de Rham lemma
• Irreducible components of the space of holomorphic foliations
• Irreducible components of the space of holomorphic foliations of degree two in \(\mathbb{C} P(n)\), \(n\geq 3\)
• Discriminants, resultants, and multidimensional determinants
• Equations différentielles à points singuliers réguliers
• Stability of foliations induced by rational maps
• Stability of holomorphic foliations with split tangent sheaf
• Stability of logarithmic differential one-forms
• A structural theorem for codimension one foliations on $\p^n$, $n\ge3$, with an application to degree three foliations
• Mixed Hodge Structures
• Singular foliations and differential \(p\)-forms

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