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On the \(\partial\overline{\partial}\)-Lemma and Bott-Chern cohomology

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Abstract

On a compact complex manifold X, we prove a Frölicher-type inequality for Bott-Chern cohomology and we show that the equality holds if and only if X satisfies the \(\partial\overline{\partial}\)-Lemma.

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Authors and Affiliations

  1. Dipartimento di Matematica “Leonida Tonelli”, Università di Pisa, Largo Bruno Pontecorvo 5, 56127, Pisa, Italy

    Daniele Angella

  2. Dipartimento Di Matematica, Università di Parma, Parco Area delle Scienze 53/A, 43124, Parma, Italy

    Adriano Tomassini

Authors
  1. Daniele Angella
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  2. Adriano Tomassini
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Correspondence to Adriano Tomassini.

Additional information

This work was supported by GNSAGA of INdAM.

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Angella, D., Tomassini, A. On the \(\partial\overline{\partial}\)-Lemma and Bott-Chern cohomology. Invent. math. 192, 71–81 (2013). https://doi.org/10.1007/s00222-012-0406-3

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  • DOI: https://doi.org/10.1007/s00222-012-0406-3

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