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.
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.
Révisé le : 2015-06-17
Accepté le : 2015-09-09
Publié le : 2016-02-16
Classification : 14D06, 32J25
Mots clés : Singularités des métriques de Narasimhan-Simha, fibré pluricanonique relatif, métrique du noyau de Bergman, fibré vectoriel nef
@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}, pages = {753--783}, publisher = {Association des Annales de l'institut Fourier}, volume = {66}, number = {2}, year = {2016}, doi = {10.5802/aif.3025}, language = {en}, url = {www.numdam.org/item/AIF_2016__66_2_753_0/} }
Takayama, Shigeharu. Singularities of Narasimhan-Simha type metrics on direct images of relative pluricanonical bundles. Annales de l'Institut Fourier, Tome 66 (2016) no. 2, pp. 753-783. doi : 10.5802/aif.3025. http://www.numdam.org/item/AIF_2016__66_2_753_0/
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