C-1,C-1 regularity for degenerate complex Monge-Ampere equations and geodesic rays

doi:10.1080/03605302.2018.1446167

CSpace

	C-1,C-1 regularity for degenerate complex Monge-Ampere equations and geodesic rays
	Chu, Jianchun 1; Tosatti, Valentino 2; Weinkove, Ben 2
	2018
发表期刊	COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0360-5302
卷号	43 期号:2 页码:292-312
摘要	We 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.
关键词	C-1,C-1 regularity complex Monge-Ampere equations geodesic rays quasi-psh envelopes
DOI	10.1080/03605302.2018.1446167
语种	英语
资助项目	NSF[DMS-1610278] ; NSF[DMS-1406164]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000428244800004
出版者	TAYLOR & FRANCIS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30126
专题	中国科学院数学与系统科学研究院
通讯作者	Tosatti, Valentino
作者单位	1.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
推荐引用方式 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.