Degree of logarithmic foliations of type (1,1,1)

DOI10.1007/s13398-022-01319-0OpenAlexW3212359667MaRDI QIDQ2681954

Mariano Chehebar

Publication date: 31 January 2023

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.09134

zbMATH Keywords

intersection theoryfoliationsalgebraic geometry

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Uses Software

• GitHub
• Book3264Examples

Cites Work

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• Irreducible components of the space of holomorphic foliations
• Structural stability of singular holomorphic foliations having a meromorphic first integral
• Irreducible components of the space of holomorphic foliations of degree two in \(\mathbb{C} P(n)\), \(n\geq 3\)
• Linear pullback components of the space of codimension one foliations
• Codimension one foliations of degree three on projective spaces
• Degree of the exceptional component of foliations of degree two and codimension one in \({\mathbb{P}}^3\)
• Degrees of spaces of holomorphic foliations of codimension one in \(\mathbb{P}^n\)
• Stability of foliations induced by rational maps
• 3264 and All That
• Chern classes of blow-ups
• Stability of logarithmic differential one-forms

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