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Hyperbolic-parabolic deformations of rational maps
Cui, Guizhen1; Tan, Lei2
2018-12-01
Source PublicationSCIENCE CHINA-MATHEMATICS
ISSN1674-7283
Volume61Issue:12Pages:2157-2220
AbstractWe develop a Thurston-like theory to characterize geometrically finite rational maps, and then apply it to study pinching and plumbing deformations of rational maps. We show that under certain conditions the pinching path converges uniformly and the quasiconformal conjugacy converges uniformly to a semi-conjugacy from the original map to the limit. Conversely, every geometrically finite rational map with parabolic points is the landing point of a pinching path for any prescribed plumbing combinatorics.
Keywordrational map geometrically finite hyperbolic parabolic
DOI10.1007/s11425-018-9426-4
Language英语
Funding ProjectNational Natural Science Foundation of China[11125106]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000451716100003
PublisherSCIENCE PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31787
Collection数学所
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Angers, LAREMA, F-49045 Angers, France
Recommended Citation
GB/T 7714
Cui, Guizhen,Tan, Lei. Hyperbolic-parabolic deformations of rational maps[J]. SCIENCE CHINA-MATHEMATICS,2018,61(12):2157-2220.
APA Cui, Guizhen,&Tan, Lei.(2018).Hyperbolic-parabolic deformations of rational maps.SCIENCE CHINA-MATHEMATICS,61(12),2157-2220.
MLA Cui, Guizhen,et al."Hyperbolic-parabolic deformations of rational maps".SCIENCE CHINA-MATHEMATICS 61.12(2018):2157-2220.
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