A residue formula for the index of a holomorphic flow
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Publication:1914721
DOI10.1007/BF01446310zbMath0853.32040OpenAlexW2912729614MaRDI QIDQ1914721
Publication date: 9 July 1996
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/165420
Modifications; resolution of singularities (complex-analytic aspects) (32S45) Singularities of holomorphic vector fields and foliations (32S65) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)
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Cites Work
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- Absolutely isolated singularities of holomorphic vector fields
- Singularities of holomorphic foliations
- Topological invariants and equidesingularization for holomorphic vector fields
- Riemann-Roch and smoothings of singularities
- Analytic cycles on complex manifolds
- The index of a holomorphic flow with an isolated singularity
- FRAMINGS ON ALGEBRAIC KNOTS
- Relative Characteristic Classes
- Singular Points of Complex Hypersurfaces. (AM-61)
- Characteristic classes