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Grant support

Munoz's and Sola Conde's work partially supported by Spanish government project MTM-2009-06964. Occhetta's work partially supported by Ministero Istruzione Universita Ricerca (PRIN project: Proprieta geometriche delle varieta, reali e complesse).

Analysis of institutional authors

Munoz, RobertoAuthor

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June 9, 2019
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On rank 2 vector bundles on Fano manifolds

Publicated to:Kyoto Journal Of Mathematics. 54 (1): 167-197 - 2014-03-01 54(1), DOI: 10.1215/21562261-2400310

Authors: Munoz, Roberto; Occhetta, Gianluca; Sola Conde, Luis E

Affiliations

Univ Politecn Madrid, Ctr Biomed Technol, Madrid 28223, Spain - Author
Univ Rey Juan Carlos, ESCET, Dept Matemat Aplicada, Madrid 28933, Spain - Author
Univ Trento, Dipartimento Matemat, I-38123 Povo, TN, Italy - Author
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Abstract

In this work we deal with vector bundles of rank two on a Fano manifold X with second and fourth Betti numbers equal to one. We study the nef and pseudoeffective cones of the corresponding projectivizations and how these cones are related to the decomposability of the vector bundle. As consequences, we obtain the complete list of P-1-bundles over X that have a second P-1-bundle structure, classify all the uniform rank two vector bundles on this class of Fano manifolds, and show the stability of indecomposable Fano bundles (with one exception on P-2).

Keywords

ClassificationCodimensionRestrictionSubvarieties

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Kyoto Journal Of Mathematics due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2014, it was in position 88/312, thus managing to position itself as a Q2 (Segundo Cuartil), 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: 2.41. 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:

  • Field Citation Ratio (FCR) from Dimensions: 8.42 (source consulted: Dimensions Oct 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-10-04, the following number of citations:

  • WoS: 20
  • Scopus: 16

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 2025-10-04:

  • 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).

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Italy.

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 (MUÑOZ IZQUIERDO, ROBERTO) and Last Author (Sola Conde, Luis E.).