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Analysis of institutional authors

Galindo, CCorresponding AuthorMonserrat, FAuthor

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On the cone of curves and of line bundles of a rational surface

Publicated to:International Journal Of Mathematics. 15 (4): 393-407 - 2004-06-01 15(4), DOI: 10.1142/S0129167X04002314

Authors: Galindo, C; Monserrat, F

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- Author

Abstract

Let Z be a smooth projective rational surface. A condition that implies the polyhedrality of the cone of curves of Z is given. This one depends only on the configuration of infinitely near points associated with the morphism which provides Z from a relatively minimal model X and it holds for a wide range of surfaces whose anticanonical bundle is not ample. When the above configuration is a chain, the condition consists uniquely on deciding whether certain datum is positive. Furthermore, we study polyhedrality and regularity of the characteristic cone and of the cone of curves of Z for some particular cases.

Keywords

Characteristic coneCone of curvesPolyhedralit

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, 2004, 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 the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 2.27, which 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: Dimensions Jun 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-06-20, the following number of citations:

  • WoS: 11
  • Scopus: 12
  • OpenCitations: 8

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 2025-06-20:

  • 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

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) and Last Author (Monserrat Delpalillo, Francisco José).

the author responsible for correspondence tasks has been Galindo Jiménez, Carlos Santiago.