Foliations by curves with curves as singularities

DOI10.5802/aif.2896zbMath1304.32018arXiv1209.5618OpenAlexW1485593738MaRDI QIDQ486820

R. Vidal Martins, G. Nonato Costa, Arturo Fernández-Pérez, Maurício Barros Corrêa Jr.

Publication date: 16 January 2015

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

Full work available at URL: https://arxiv.org/abs/1209.5618

zbMATH Keywords

holomorphic foliationsnon-isolated singularities

Mathematics Subject Classification ID

Singularities of vector fields, topological aspects (58K45) Singularities of holomorphic vector fields and foliations (32S65)

Related Items (7)

Foliations with isolated singularities on Hirzebruch surfaces ⋮ Baum-Bott indices for curves of singularities ⋮ On foliations by curves with singularities of positive dimension ⋮ Classification of the invariants of foliations by curves of low degree on the three-dimensional projective space ⋮ On special holomorphic distributions and residues ⋮ On the Milnor number of non‐isolated singularities of holomorphic foliations and its topological invariance ⋮ Cayley-Bacharach and singularities of foliations

Cites Work

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• Stability of meromorphic vector fields in projective spaces
• On sections with isolated singularities of twisted bundles and applications to foliations by curves
• Holomorphic foliations by curves on \(\mathbb P^3\) with non-isolated singularities
• On degeneracy schemes of maps of vector bundles and applications to holomorphic foliations
• Vanishing Theorems, A Theorem of Severi, and the Equations Defining Projective Varieties

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