Stability of foliations induced by rational maps

DOI10.5802/afst.1221zbMath1208.32029arXiv0709.4072OpenAlexW2047267015MaRDI QIDQ2655878

Israel Vainsencher, Jorge Vitório Pereira, Fernando Cukierman

Publication date: 26 January 2010

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.4072

zbMATH Keywords

irreducible componentsholomorphic foliationshigher codimensionhomogeneous forms

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Foliations in differential topology; geometric theory (57R30) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (22)

Toric foliations with split tangent sheaf ⋮ Degrees of spaces of holomorphic foliations of codimension one in \(\mathbb{P}^n\) ⋮ Germs of integrable forms and varieties of minimal degree ⋮ Deformations of the exterior algebra of differential forms ⋮ Pull-back components of the space of foliations of codimension ≥2 ⋮ Logarithmic forms and singular projective foliations ⋮ Rational pullbacks of toric foliations ⋮ Degree of logarithmic foliations of type (1,1,1) ⋮ On an algebraical computation of the tensor and the curvature for 3-web ⋮ On first order deformations of homogeneous foliations ⋮ Higher codimensional foliations with Kupka singularities ⋮ Stability of logarithmic differential one-forms ⋮ Unfoldings and deformations of rational and logarithmic foliations ⋮ Foliations with persistent singularities ⋮ Linear pullback components of the space of codimension one foliations ⋮ Branched pull-back components of the space of codimension two foliations on ℙ4 ⋮ Logarithmic foliations ⋮ Codimension one foliations of degree three on projective spaces ⋮ Foliations with trivial canonical bundle on Fano 3-folds ⋮ DiffAlg: a differential algebra package ⋮ Degree of the exceptional component of foliations of degree two and codimension one in \({\mathbb{P}}^3\) ⋮ On plane Cremona transformations of fixed degree

Uses Software

• SINGULAR
• schubert

Cites Work

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• Equations de Pfaff algébriques
• On a generalization of de Rham lemma
• SINGULAR: A computer algebra system for singularity theory, algebraic geometry and commutative algebra
• Structural stability of singular holomorphic foliations having a meromorphic first integral
• Irreducible components of the space of holomorphic foliations of degree two in \(\mathbb{C} P(n)\), \(n\geq 3\)
• Stability of holomorphic foliations with split tangent sheaf
• Deformations of holomorphic foliations having a meromorphic first integral.
• Transversely affine and transversely projective holomorphic foliations
• Deformations of branched Lefschetz Pencils
• On the density of algebraic foliations without algebraic invariant sets
• Singular foliations and differential \(p\)-forms

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