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

John Lott

doi:10.2140/akt.2019.4.707

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Home > Journals > Ann. K-Theory > Volume 4 > Issue 4 > Article

2019 A Dolbeault–Hilbert complex for a variety with isolated singular points

John Lott

Ann. K-Theory 4(4): 707-720 (2019). DOI: 10.2140/akt.2019.4.707

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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 and MacPherson.

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John Lott. "A Dolbeault–Hilbert complex for a variety with isolated singular points." Ann. K-Theory 4 (4) 707 - 720, 2019. https://doi.org/10.2140/akt.2019.4.707