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Some applications of the theory of harmonic integrals

100%

Matsumura S.-i.

Complex Manifolds

2015

tom 2

nr 1

In this survey, we present recent techniques on the theory of harmonic integrals to study the cohomology groups of the adjoint bundle with the multiplier ideal sheaf of singular metrics. As an application, we give an analytic version of the injectivity theorem.

On localization in holomorphic equivariant cohomology

68%

Bruzzo U., Rubtsov V.

Open Mathematics

2012

tom 10

nr 4

1442-1454

We study a holomorphic equivariant cohomology built out of the Atiyah algebroid of an equivariant holomorphic vector bundle and prove a related localization formula. This encompasses various residue formulas in complex geometry, in particular we shall show that it contains as special cases Carrell-Liebermann’s and Feng-Ma’s residue formulas, and Baum-Bott’s formula for the zeroes of a meromorphic vector field.

Ograniczanie wyników

1 Complex Manifolds

1 Open Mathematics

1 Bruzzo U.

1 Matsumura S.-i.

1 Rubtsov V.

1 2015

1 2012

Wyniki wyszukiwania

Some applications of the theory of harmonic integrals

On localization in holomorphic equivariant cohomology