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Remarks on Dolbeault cohomology of Oeljeklaus-Toma manifolds and Hodge theory (2008.06649v2)
Published 15 Aug 2020 in math.DG
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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