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C-1,C-1 regularity for degenerate complex Monge-Ampere equations and geodesic rays
Chu, Jianchun1; Tosatti, Valentino2; Weinkove, Ben2
2018
Source PublicationCOMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN0360-5302
Volume43Issue:2Pages:292-312
AbstractWe prove a C-1,C-1 estimate for solutions of complex Monge-Ampere equations on compact Kahler manifolds with possibly nonempty boundary, in a degenerate cohomology class. This strengthens previous estimates of Phong-Sturm. As applications we deduce the local C-1,C-1 regularity of geodesic rays in the space of Kahler metrics associated to a test configuration, as well as the local C-1,C-1 regularity of quasi-psh envelopes in nef and big classes away from the non-Kahler locus.
KeywordC-1,C-1 regularity complex Monge-Ampere equations geodesic rays quasi-psh envelopes
DOI10.1080/03605302.2018.1446167
Language英语
Funding ProjectNSF[DMS-1610278] ; NSF[DMS-1406164]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000428244800004
PublisherTAYLOR & FRANCIS INC
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30126
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing, Peoples R China
2.Northwestern Univ, Dept Math, 2033 Sheridan Rd, Evanston, IL 60208 USA
Recommended Citation
GB/T 7714
Chu, Jianchun,Tosatti, Valentino,Weinkove, Ben. C-1,C-1 regularity for degenerate complex Monge-Ampere equations and geodesic rays[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,2018,43(2):292-312.
APA Chu, Jianchun,Tosatti, Valentino,&Weinkove, Ben.(2018).C-1,C-1 regularity for degenerate complex Monge-Ampere equations and geodesic rays.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,43(2),292-312.
MLA Chu, Jianchun,et al."C-1,C-1 regularity for degenerate complex Monge-Ampere equations and geodesic rays".COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 43.2(2018):292-312.
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