[Singularités des métriques de type Narasimhan-Simha sur l’image directe du fibré pluricanonique relatif]
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.
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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
Takayama, Shigeharu 1
@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{\textquoteright}institut Fourier},
volume = {66},
number = {2},
year = {2016},
doi = {10.5802/aif.3025},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3025/}
}
TY - JOUR AU - Takayama, Shigeharu TI - Singularities of Narasimhan-Simha type metrics on direct images of relative pluricanonical bundles JO - Annales de l'Institut Fourier PY - 2016 SP - 753 EP - 783 VL - 66 IS - 2 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3025/ DO - 10.5802/aif.3025 LA - en ID - AIF_2016__66_2_753_0 ER -
%0 Journal Article %A Takayama, Shigeharu %T Singularities of Narasimhan-Simha type metrics on direct images of relative pluricanonical bundles %J Annales de l'Institut Fourier %D 2016 %P 753-783 %V 66 %N 2 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.3025/ %R 10.5802/aif.3025 %G en %F 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. https://aif.centre-mersenne.org/articles/10.5802/aif.3025/
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