Singularities of Narasimhan-Simha type metrics on direct images of relative pluricanonical bundles

Takayama, Shigeharu

Annales de l'Institut Fourier, Tome 66 (2016) no. 2, pp. 753-783.

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.

Classification : 14D06, 32J25
Keywords: singularities of Narasimhan-Simha metric, relative pluricanonical bundle, Bergman kernel metric, nef vector bundle
Mot clés : Singularités des métriques de Narasimhan-Simha, fibré pluricanonique relatif, métrique du noyau de Bergman, fibré vectoriel nef

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