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Remarks on Dolbeault cohomology of Oeljeklaus-Toma manifolds and Hodge theory

2020/08/15 by Hisashi Kasuya, Kasuya, Hisashi
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2008.06649

openalex publication_date 2020/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give explicit harmonic representatives of Dolbeault cohomology of Oeljeklaus-Toma manifolds and show that they are geometrically Dolbeault formal. We also give explicit harmonic representatives of Bott-Chern cohomology of Oeljeklaus-Toma manifolds of type (s,1) and study the Angella-Tomassini inequality.

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