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Bott-Chern hypercohomology and bimeromorphic invariants

Bott-Chern hypercohomology and bimeromorphic invariants

Abstract The aim of this article is to study the geometry of Bott-Chern hypercohomology from the bimeromorphic point of view. We construct some new bimeromorphic invariants involving the cohomology for the sheaf of germs of pluriharmonic functions, the truncated holomorphic de Rham cohomology, and the de Rham cohomology. To define …