A Dolbeault-Hilbert complex for a variety with isolated singular points

Abstract

Given a compact Hermitian complex space with isolated singular points, we construct a Dolbeault-type Hilbert complex whose cohomology is isomorphic to the cohomology of the structure sheaf. We show that the corresponding K-homology class coincides with the one constructed by Baum-Fulton-MacPherson.

final version

References in corpus (2)

• On the Unbounded Picture of $KK$-Theory
• On analytic Todd classes of singular varieties

Cited by in corpus (1)

• A note on higher Todd genera of complex manifolds