On metric and cohomological properties of Oeljeklaus-Toma manifolds
Angella, Daniele (Università degli Studi di Firenze. Dipartimento di Matematica e Informatica "Ulisse Dini")
Dubickas, Arturas (Vilnius University (Lituània). Department of Mathematics and Informatics)
Otiman, Alexandra (Università degli Studi di Firenze. Dipartimento di Matematica e Informatica "Ulisse Dini")
Stelzig, Jonas (Ludwig-Maximilians-Universität München. Mathematisches Institut)

Data:	2024
Resum:	We study metric and cohomological properties of Oeljeklaus-Toma manifolds. In particular, we describe the structure of the double complex of differential forms and its Bott-Chern cohomology and we characterize the existence of pluriclosed (aka SKT) metrics in number-theoretic and cohomological terms. Moreover, we prove that they do not admit any Hermitian metric ω such that ∂∂ω¯ k = 0, for 2 ≤ k ≤ n − 2, and we give explicit formulas for the Dolbeault cohomology of Oeljeklaus-Toma manifolds admitting pluriclosed metrics.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Oeljeklaus-toma manifold ; Hermitian metric ; Pluriclosed ; SKT ; Cohomology ; Bott-chern cohomology
Publicat a:	Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 219-239 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/422940
DOI: 10.5565/PUBLMAT6812409

21 p, 480.1 KB

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