It is proved that the properties of being Dolbeault formal and geometrically-Bott-Chern-formal are not closed under holomorphic deformations of the complex structure. Further, we construct a compact complex manifold which satisfies the ∂∂‾-lemma but admits a non vanishing Aeppli-Bott-Chern-Massey product.
Dolbeault and Bott-Chern formalities: Deformations and ∂∂‾-lemma / Sferruzza, T.; Tomassini, A.. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 175:(2022), p. 104470.104470. [10.1016/j.geomphys.2022.104470]
Dolbeault and Bott-Chern formalities: Deformations and ∂∂‾-lemma
Sferruzza T.;Tomassini A.
2022-01-01
Abstract
It is proved that the properties of being Dolbeault formal and geometrically-Bott-Chern-formal are not closed under holomorphic deformations of the complex structure. Further, we construct a compact complex manifold which satisfies the ∂∂‾-lemma but admits a non vanishing Aeppli-Bott-Chern-Massey product.File in questo prodotto:
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