Partial regularity for homogeneous complex Monge-Ampere equations

Xiuxiong Chen; Gang Tian

doi:10.1016/j.crma.2004.11.024

Partial regularity for homogeneous complex Monge-Ampere equations

Xiuxiong Chen, Gang Tian

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	337-340
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	340
Issue number	5
DOIs	https://doi.org/10.1016/j.crma.2004.11.024
State	Published - Mar 1 2005

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.crma.2004.11.024

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@article{b75eaf9ef5cf48fa87c702677d33022f,

title = "Partial regularity for homogeneous complex Monge-Ampere equations",

abstract = "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.",

author = "Xiuxiong Chen and Gang Tian",

note = "Funding Information: 1 Both authors are supported by NSF research grants and the second author is also supported partially by a Simons fund grant.",

year = "2005",

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doi = "10.1016/j.crma.2004.11.024",

language = "English (US)",

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journal = "Comptes Rendus Mathematique",

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T1 - Partial regularity for homogeneous complex Monge-Ampere equations

AU - Chen, Xiuxiong

AU - Tian, Gang

N1 - Funding Information: 1 Both authors are supported by NSF research grants and the second author is also supported partially by a Simons fund grant.

PY - 2005/3/1

Y1 - 2005/3/1

N2 - 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.

AB - 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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U2 - 10.1016/j.crma.2004.11.024

DO - 10.1016/j.crma.2004.11.024

M3 - Article

AN - SCOPUS:13844307982

SN - 1631-073X

VL - 340

SP - 337

EP - 340

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 5

ER -

Partial regularity for homogeneous complex Monge-Ampere equations

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