Singularities of Narasimhan-Simha type metrics on direct images of relative pluricanonical bundles
Annales de l'Institut Fourier, Volume 66 (2016) no. 2, p. 753-783
We study singularities of the Narasimhan-Simha Hermitian metric on the direct image of a relative pluricanonical bundle. The upper bound relates to log-canonical thresholds.
Nous étudions les singularités des métriques hermitiennes de Narasimhan-Simha sur les images directes des fibrés pluricanoniques relatifs. La majoration est liée aux seuils log-canoniques.
Received : 2014-12-04
Revised : 2015-06-18
Accepted : 2015-09-10
Published online : 2016-02-17
DOI : https://doi.org/10.5802/aif.3025
Classification:  14D06,  32J25
Keywords: singularities of Narasimhan-Simha metric, relative pluricanonical bundle, Bergman kernel metric, nef vector bundle
@article{AIF_2016__66_2_753_0,
     author = {Takayama, Shigeharu},
     title = {Singularities of Narasimhan-Simha type metrics on direct images of relative pluricanonical bundles},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {66},
     number = {2},
     year = {2016},
     pages = {753-783},
     doi = {10.5802/aif.3025},
     language = {en},
     url = {https://aif.centre-mersenne.org/item/AIF_2016__66_2_753_0}
}
Singularities of Narasimhan-Simha type metrics on direct images of relative pluricanonical bundles. Annales de l'Institut Fourier, Volume 66 (2016) no. 2, pp. 753-783. doi : 10.5802/aif.3025. https://aif.centre-mersenne.org/item/AIF_2016__66_2_753_0/

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