Foliations on projective spaces associated to the affine Lie algebra

DOI10.5565/PUBLMAT6422003zbMath1447.32038arXiv1810.01298WikidataQ115159253 ScholiaQ115159253MaRDI QIDQ2192681

Raphael Constant da Costa

Publication date: 17 August 2020

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.01298

zbMATH Keywords

affine Lie algebraholomorphic foliationsgeneralized Kupka components

Mathematics Subject Classification ID

Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Related Items (1)

Codimension one foliations of degree three on projective spaces

Cites Work

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• Germs of complex two dimensional foliations
• Equations de Pfaff algébriques
• Irreducible components of the space of holomorphic foliations
• New irreducible components of the space of foliations associated to the affine Lie algebra
• Structural stability of singular holomorphic foliations having a meromorphic first integral
• The topology on integrable differential forms near a singularity
• Irreducible components of the space of holomorphic foliations of degree two in \(\mathbb{C} P(n)\), \(n\geq 3\)
• Stability of branched pull-back projective foliations
• Irreducible components of the space of foliations associated to the affine Lie algebra
• Stability of holomorphic foliations with split tangent sheaf
• Pull-back components of the space of foliations of codimension ≥2
• Feuilletages et actions de groupes sur les espaces projectifs

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