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This article is cited in 10 scientific papers (total in 11 papers)
Holomorphic motions and uniformization of holomorphic families of Riemann surfaces
E. M. Chirka Steklov Mathematical Institute of the Russian Academy of Sciences
Abstract:
Sufficient conditions for the simultaneous uniformization of holomorphic families of Riemann surfaces are investigated. The main method is based on a local construction of holomorphic and almost holomorphic motions with subsequent use of the machinery of Teichmüller spaces. Holomorphic motions are also applied to the closely related problem of extending a complex structure.
Bibliography: 62 titles.
Keywords:
Riemann surfaces, Teichmüller spaces, uniformization, holomorphic motions, removable singularities.
Received: 08.10.2012
Citation:
E. M. Chirka, “Holomorphic motions and uniformization of holomorphic families of Riemann surfaces”, Uspekhi Mat. Nauk, 67:6(408) (2012), 125–202; Russian Math. Surveys, 67:6 (2012), 1091–1165
Linking options:
https://www.mathnet.ru/eng/rm9499https://doi.org/10.1070/RM2012v067n06ABEH004819 https://www.mathnet.ru/eng/rm/v67/i6/p125
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Abstract page: | 775 | Russian version PDF: | 308 | English version PDF: | 41 | References: | 70 | First page: | 38 |
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