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Grant support

We would like to thank Adriano Tomassini, Daniele Angella, Maria Giovanna Franzini and Federico Alberto Rossi for pointing out the preprint [5] and for useful comments and remarks. This work has been partially supported through Project MICINN (Spain) MTM2011-28326-C02-01. Adela Latorre is also supported by a predoctoral scholarship from the DGA (Diputacion General de Aragon).

Analysis of institutional authors

Latorre, AdelaAuthor

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August 2, 2020
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On the Bott-Chern cohomology and balanced Hermitian nilmanifolds

Publicated to:International Journal Of Mathematics. 25 (6): - 2014-01-01 25(6), DOI: 10.1142/S0129167X14500578

Authors: Latorre, Adela; Ugarte, Luis; Villacampa, Raquel;

Affiliations

‎ Univ Zaragoza, IUMA, Ctr Univ Defensa Zaragoza, E-50009 Zaragoza, Spain - Author
‎ Univ Zaragoza, IUMA, Dept Matemat, E-50009 Zaragoza, Spain - Author

Abstract

The Bott-Chern cohomology of six-dimensional nilmanifolds endowed with invariant complex structure is studied with special attention to the cases when balanced or strongly Gauduchon Hermitian metrics exist. We consider complex invariants introduced by Angella and Tomassini and by Schweitzer, which are related to the. partial derivative(partial derivative) over bar -lemma condition and defined in terms of the Bott-Chern cohomology, and show that the vanishing of some of these invariants is not a closed property under holomorphic deformations. In the balanced case, we determine the spaces that parametrize deformations in type IIB supergravity described by Tseng and Yau in terms of the Bott Chern cohomology group of bidegree (2, 2).

Keywords

Bott-chern cohomologyComplex structureComplex structuresDolbeault-cohomologyGeometryHolomorphic deformationManifoldsNilmanifoldSmall deformationsStability

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal International Journal Of Mathematics due to its progression and the good impact it has achieved in recent years, according to the agency Scopus (SJR), it has become a reference in its field. In the year of publication of the work, 2014, it was in position , thus managing to position itself as a Q2 (Segundo Cuartil), in the category Mathematics (Miscellaneous). Notably, the journal is positioned en el Cuartil Q3 for the agency WoS (JCR) in the category Mathematics.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 1.57. This indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 14, 2024)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Weighted Average of Normalized Impact by the Scopus agency: 1.27 (source consulted: FECYT Feb 2024)
  • Field Citation Ratio (FCR) from Dimensions: 10.2 (source consulted: Dimensions Jul 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-07-27, the following number of citations:

  • WoS: 13
  • Scopus: 18

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-07-27:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 2 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (LATORRE LARRODE, ADELA) .