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The aim of this work is to construct examples of pairs whose logarithmic cotangent bundles have strong positivity properties. These examples are constructed from any smooth -dimensional complex projective varieties by considering the sum of at least general sufficiently ample hypersurfaces.
L’objectif de ce travail est de construire des exemples de paires dont le fibré cotangent logarithmique possède de fortes propriétés de positivité. Ces exemples sont construit à partir de n’importe quelle variété lisse de dimension en considérant la somme d’au moins diviseurs généraux suffisamment amples.
Brotbek, Damian 1 ; Deng, Ya 2
CC-BY-ND 4.0
@article{AIF_2018__68_7_3001_0,
author = {Brotbek, Damian and Deng, Ya},
title = {On the positivity of the logarithmic cotangent bundle},
journal = {Annales de l'Institut Fourier},
pages = {3001--3051},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {68},
number = {7},
year = {2018},
doi = {10.5802/aif.3235},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/aif.3235/}
}
TY - JOUR AU - Brotbek, Damian AU - Deng, Ya TI - On the positivity of the logarithmic cotangent bundle JO - Annales de l'Institut Fourier PY - 2018 SP - 3001 EP - 3051 VL - 68 IS - 7 PB - Association des Annales de l’institut Fourier UR - http://geodesic.mathdoc.fr/articles/10.5802/aif.3235/ DO - 10.5802/aif.3235 LA - en ID - AIF_2018__68_7_3001_0 ER -
%0 Journal Article %A Brotbek, Damian %A Deng, Ya %T On the positivity of the logarithmic cotangent bundle %J Annales de l'Institut Fourier %D 2018 %P 3001-3051 %V 68 %N 7 %I Association des Annales de l’institut Fourier %U http://geodesic.mathdoc.fr/articles/10.5802/aif.3235/ %R 10.5802/aif.3235 %G en %F AIF_2018__68_7_3001_0
Brotbek, Damian; Deng, Ya. On the positivity of the logarithmic cotangent bundle. Annales de l'Institut Fourier, Tome 68 (2018) no. 7, pp. 3001-3051. doi : 10.5802/aif.3235. http://geodesic.mathdoc.fr/articles/10.5802/aif.3235/
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