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Analysis of institutional authors

Galindo, CAuthorMonserrat, FAuthor

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October 28, 2024
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Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces

Publicated to:Quaestiones Mathematicae. 46 (11): 2367-2401 - 2023-11-02 46(11), DOI: 10.2989/16073606.2022.2146020

Authors: Galindo, Carlos; Monserrat, Francisco; Moreno-avila, Carlos-Jesus

Affiliations

Inst Univ Matemat Pura & Aplicada, Univ Politecn Valencia, Camino Vera S-N - Author
Univ Jaume 1, Dept Matemat & Inst Universitari Matematiques Apli, Campus Riu Sec - Author
Univ Jaume 1, Inst Univ Matematiques & Aplicac Castello, Campus Riu Sec - Author

Abstract

We consider flags E-center dot,= {X superset of E subset of {q}}, where E is an exceptional divisor defining a non-positive at infinity divisorial valuation nu(E) of a Hirzebruch surface , F(delta )q a point in E and X the surface given by nu(E), and determine an analogue of the Seshadri constant for pairs (nu(E), D), D being a big divisor on F-delta . The main result is an explicit computation of the vertices of the Newton-Okounkov bodies of pairs (E-center dot, D) as above, showing that they are quadrilaterals or triangles and distinguishing one case from another.

Keywords

CurvesFieldsFlagsLocal uniformizationNewton-okounkov bodiesNon-positive at infinity valuationsPositivity

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Quaestiones Mathematicae, and although the journal is classified in the quartile Q3 (Agencia WoS (JCR)), its regional focus and specialization in Mathematics, give it significant recognition in a specific niche of scientific knowledge at an international level.

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: 1.31. 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: 3.6 (source consulted: Dimensions Jul 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-07-06, the following number of citations:

  • WoS: 2

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 2025-07-06:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 2.
  • 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).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 0.25.
  • The number of mentions on the social network X (formerly Twitter): 1 (Altmetric).

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 (Galindo Jiménez, Carlos Santiago) .