Dolbeault Type Cohomology Groups of Infinitesimal Deformations and Their Applications (2304.10355v1)

Published 20 Apr 2023 in math.AG

Abstract: In this paper, we establish a kind of Dolbeault type cohomology groups for the purpose of studying the varying of complex structure invariants in infinitesimal deformations of any order. We give a concrete description of the higher order Kodaria-Spencer maps by using these cohomology groups. We reformulate the obstruction formulas within the framework of these cohomology groups and give a new proof for the formulas.

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