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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.
Keywords
Dolbeault, singular, variety, Riemann–Roch
Mathematical Subject Classification 2010
Primary: 19K33, 19L10, 32W05, 58J10
Milestones
Received: 23 April 2019
Revised: 20 June 2019
Accepted: 11 July 2019
Published: 10 January 2020
