The Generic Rank of the Baum-Bott Map for Degree-2 Foliations on Even-Dimensional Projective Spaces

DOI10.5427/jsing.2020.20fzbMath1441.37054OpenAlexW3019128302MaRDI QIDQ5109567

Midory Komatsudani-Quispe

Publication date: 12 May 2020

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5427/jsing.2020.20f

zbMATH Keywords

Baum-Bott mapJouanolou foliationhigher-dimensional projective spaces

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75) Foliations generated by dynamical systems (37C86)

Related Items (1)

The Generic Rank of the Baum-Bott Map for Degree-2 Foliations on Even-Dimensional Projective Spaces

Cites Work

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• Singularities of holomorphic foliations
• Algebraic solutions of one-dimensional foliations
• Invariant varieties through singularities of holomorphic vector fields
• Fibers of the Baum-Bott map for foliations of degree two on \(\mathbb P^2\)
• Determination of Baum-Bott residues of higher codimensional foliations
• Twin vector fields and independence of spectra for quadratic vector fields
• On Chern's proof of Baum–Bott's theorem
• The generic rank of the Baum–Bott map for foliations of the projective plane
• Stability of holomorphic foliations with split tangent sheaf
• A Bott-Type Residue Formula on Complex Orbifolds
• The Generic Rank of the Baum-Bott Map for Degree-2 Foliations on Even-Dimensional Projective Spaces

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