Dans cette note, nous présentons, sous une certaine condition additionnelle, une preuve alternative d'un théorème de stabilité pour le comportement asymptotique à la frontière du noyau de Bergman, démontré antérieurement par T. Ohsawa. Notre méthode s'appuie sur la localisation de l'intégrale minimale liée au noyau de Bergman à poids.
In this note, under an additional condition, we present an alternative proof of a stability theorem for the boundary asymptotics of the Bergman kernel due to T. Ohsawa. Our method relies on the localization of the minimum integral related to the weighted Bergman kernel.
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@article{CRMATH_2017__355_4_420_0, author = {Kim, Hyeseon}, title = {On the localization of the minimum integral related to the weighted {Bergman} kernel and its application}, journal = {Comptes Rendus. Math\'ematique}, pages = {420--425}, publisher = {Elsevier}, volume = {355}, number = {4}, year = {2017}, doi = {10.1016/j.crma.2017.03.005}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2017.03.005/} }
TY - JOUR AU - Kim, Hyeseon TI - On the localization of the minimum integral related to the weighted Bergman kernel and its application JO - Comptes Rendus. Mathématique PY - 2017 SP - 420 EP - 425 VL - 355 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2017.03.005/ DO - 10.1016/j.crma.2017.03.005 LA - en ID - CRMATH_2017__355_4_420_0 ER -
%0 Journal Article %A Kim, Hyeseon %T On the localization of the minimum integral related to the weighted Bergman kernel and its application %J Comptes Rendus. Mathématique %D 2017 %P 420-425 %V 355 %N 4 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2017.03.005/ %R 10.1016/j.crma.2017.03.005 %G en %F CRMATH_2017__355_4_420_0
Kim, Hyeseon. On the localization of the minimum integral related to the weighted Bergman kernel and its application. Comptes Rendus. Mathématique, Tome 355 (2017) no. 4, pp. 420-425. doi : 10.1016/j.crma.2017.03.005. http://www.numdam.org/articles/10.1016/j.crma.2017.03.005/
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