Partial holomorphic connections and extension of foliations

DOI10.1215/21562261-1625190zbMath1333.37066arXiv1010.3450OpenAlexW2081251789MaRDI QIDQ449155

Isaia Nisoli

Publication date: 12 September 2012

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3450

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75) Residues for several complex variables (32A27)

Cites Work

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• Embeddings of submanifolds and normal bundles
• Invariant varieties through singularities of holomorphic vector fields
• First variation of holomorphic forms and some applications
• Some remarks on indices of holomorphic vector fields
• Fibered neighborhoods of curves in surfaces
• Tangential index of foliations with curves on surfaces
• The local analytical triviality of a complex analytic singular foliation
• First order extensions of holomorphic foliations
• Index theorems for holomorphic self-maps
• Residues of holomorphic vector fields relative to singular invariant subvarieties
• GENERALIZATION OF VARIATIONS AND BAUM–BOTT RESIDUES FOR HOLOMORPHIC FOLIATIONS ON SINGULAR VARIETIES
• Complex Analytic Connections in Fibre Bundles
• Index theorems for holomorphic maps and foliations
• RESIDUES OF HOLOMORPHIC FOLIATIONS RELATIVE TO A GENERAL SUBMANIFOLD
• Characteristic classes

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