[Régularité partielle pour des équations de Monge–Ampère complexes]
Dans cette Note, on établit un nouveau résultat de égularité partielle pour certaines équations complexes de Monge–Ampère. On obtient ces résultats en étudiant des feuilletages par des disques holomorphes et leurs relations avec ces équations.
In this Note, we establish a new partial regularity theory on certain homogeneous complex Monge–Ampere equations. This partial regularity theory is obtained by studying foliations by holomorphic disks and their relation to these equations.
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@article{CRMATH_2005__340_5_337_0,
author = {Chen, Xiuxiong and Tian, Gang},
title = {Partial regularity for homogeneous complex {Monge{\textendash}Ampere} equations},
journal = {Comptes Rendus. Math\'ematique},
pages = {337--340},
publisher = {Elsevier},
volume = {340},
number = {5},
year = {2005},
doi = {10.1016/j.crma.2004.11.024},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2004.11.024/}
}
TY - JOUR AU - Chen, Xiuxiong AU - Tian, Gang TI - Partial regularity for homogeneous complex Monge–Ampere equations JO - Comptes Rendus. Mathématique PY - 2005 SP - 337 EP - 340 VL - 340 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2004.11.024/ DO - 10.1016/j.crma.2004.11.024 LA - en ID - CRMATH_2005__340_5_337_0 ER -
%0 Journal Article %A Chen, Xiuxiong %A Tian, Gang %T Partial regularity for homogeneous complex Monge–Ampere equations %J Comptes Rendus. Mathématique %D 2005 %P 337-340 %V 340 %N 5 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2004.11.024/ %R 10.1016/j.crma.2004.11.024 %G en %F CRMATH_2005__340_5_337_0
Chen, Xiuxiong; Tian, Gang. Partial regularity for homogeneous complex Monge–Ampere equations. Comptes Rendus. Mathématique, Tome 340 (2005) no. 5, pp. 337-340. doi : 10.1016/j.crma.2004.11.024. http://www.numdam.org/articles/10.1016/j.crma.2004.11.024/
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