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We give an analytic version of the injectivity theorem by using multiplier ideal sheaves of singular hermitian metrics, and prove extension theorems for the log canonical bundle of dlt pairs. Moreover we obtain partial results related to the abundance conjecture in birational geometry and the semi-ampleness conjecture for hyperKähler manifolds.
Nous donnons une version analytique du théorème d'injectivité en utilisant les idéaux multiplicateurs, et démontrons des théorèmes d'extension pour le faisceau adjoint d'une paire dlt. De plus nous obtenons des résultats de semi-amplitude liés à la conjecture d'abondance en géométrie birationnelle et la conjecture de semi-amplitude pour les variétés hyperkählériennes.
@article{ASENS_2017__50_2_479_0,
author = {Gongyo, Yoshinori and ichi Matsumura, Shin},
title = {Versions of injectivity and extension theorems},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
pages = {479--502},
publisher = {Soci\'et\'e Math\'ematique de France. Tous droits r\'eserv\'es},
volume = {Ser. 4, 50},
number = {2},
year = {2017},
doi = {10.24033/asens.2325},
mrnumber = {3621435},
zbl = {1401.14083},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.24033/asens.2325/}
}
TY - JOUR AU - Gongyo, Yoshinori AU - ichi Matsumura, Shin TI - Versions of injectivity and extension theorems JO - Annales scientifiques de l'École Normale Supérieure PY - 2017 SP - 479 EP - 502 VL - 50 IS - 2 PB - Société Mathématique de France. Tous droits réservés UR - http://geodesic.mathdoc.fr/articles/10.24033/asens.2325/ DO - 10.24033/asens.2325 LA - en ID - ASENS_2017__50_2_479_0 ER -
%0 Journal Article %A Gongyo, Yoshinori %A ichi Matsumura, Shin %T Versions of injectivity and extension theorems %J Annales scientifiques de l'École Normale Supérieure %D 2017 %P 479-502 %V 50 %N 2 %I Société Mathématique de France. Tous droits réservés %U http://geodesic.mathdoc.fr/articles/10.24033/asens.2325/ %R 10.24033/asens.2325 %G en %F ASENS_2017__50_2_479_0
Gongyo, Yoshinori; ichi Matsumura, Shin. Versions of injectivity and extension theorems. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 50 (2017) no. 2, pp. 479-502. doi : 10.24033/asens.2325. http://geodesic.mathdoc.fr/articles/10.24033/asens.2325/
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