Integral representation of moderate cohomology
H{\aa}kan Samuelsson Kalm
TL;DR
This paper provides explicit integral formulas for classical and higher local moderate cohomology groups, connecting these representations to holomorphic forms on non-reduced complex spaces.
Contribution
It introduces explicit integral representations for moderate cohomology, extending classical results to higher cohomology groups and relating them to non-reduced complex spaces.
Findings
Explicit integral formulas for classical moderate cohomology.
Representation of higher local moderate cohomology groups.
Connections to holomorphic forms on non-reduced spaces.
Abstract
We make the classical Dickenstein-Sessa canonical representation in local moderate cohomology explicit by an integral formula. We also provide a similar representation of the higher local moderate cohomology groups. The results are related to holomorphic forms on non-reduced complex spaces.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models