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

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.
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]
File in questo prodotto:
File Dimensione Formato  
1-s2.0-S0393044022000201-JGP-Sferruzza-Tomassini.pdf

non disponibili

Tipologia: Versione (PDF) editoriale
Licenza: Creative commons
Dimensione 406 kB
Formato Adobe PDF
406 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2919350
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact