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arXiv · 1904.07744

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

John Lott
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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.

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John Lott. 2019-04-16. A Dolbeault-Hilbert complex for a variety with isolated singular points. https://doi.org/10.2140/akt.2019.4.707

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