Let M be a smooth complex manifold, and S(subset of M) be a compact irreducible subvariety with dim(C) S > 0. Let be given either a holomorphic map f : M -> M with f(|S) = id(S), f not equal id(M), or a holomorphic foliation F on M: we describe an approach that can be applied to both map and foliation in order to obtain index theorems.

Tovena, F. (2009). A general approach to index theorems for holomorphic maps and foliations. In Geometriae Dedicata (pp.15-31). DORDRECHT : SPRINGER [10.1007/s10711-008-9336-z].

A general approach to index theorems for holomorphic maps and foliations

TOVENA, FRANCESCA
2009-01-01

Abstract

Let M be a smooth complex manifold, and S(subset of M) be a compact irreducible subvariety with dim(C) S > 0. Let be given either a holomorphic map f : M -> M with f(|S) = id(S), f not equal id(M), or a holomorphic foliation F on M: we describe an approach that can be applied to both map and foliation in order to obtain index theorems.
4th Iberoamerican Conference on Complex Geometry
Ouro Preto, BRAZIL
AUG 12-18, 2007
4
Rilevanza internazionale
su invito
2009
Settore MAT/03 - GEOMETRIA
English
Comfortably embedded submanifolds; Holomorphic connections; Holomorphic foliations; Holomorphic maps; Index theorem
Intervento a convegno
Tovena, F. (2009). A general approach to index theorems for holomorphic maps and foliations. In Geometriae Dedicata (pp.15-31). DORDRECHT : SPRINGER [10.1007/s10711-008-9336-z].
Tovena, F
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/26099
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