A Dolbeault-Hilbert complex for a variety with isolated singular points
Differential Geometry
2020-01-15 v3 Complex Variables
K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.1904.07744,
title = {A Dolbeault-Hilbert complex for a variety with isolated singular points},
author = {John Lott},
journal= {arXiv preprint arXiv:1904.07744},
year = {2020}
}
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final version