A Dolbeault-Hilbert complex for a variety with isolated singular points (1904.07744v3)

Published 16 Apr 2019 in math.DG, math.CV, and math.KT

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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Authors (1)

John Lott

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