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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 6, Pages 1379–1395
(Mi smj2168)
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This article is cited in 2 scientific papers (total in 2 papers)
Classification up to equivalence of the holomorphic mappings of Riemann surfaces of low genus
I. A. Mednykh Novosibirsk State University, Novosibirsk
Abstract:
We give a complete classification up to equivalence of the holomorphic mappings of a Riemann surface of genus 3 onto a Riemann surface of genus 2. Also we establish that every Riemann surface of genus 3 has at most three holomorphic images of genus 2.
Keywords:
Riemann surface, holomorphic mapping, orbifold, de Franchis theorem, conformal automorphism.
Received: 09.10.2009
Citation:
I. A. Mednykh, “Classification up to equivalence of the holomorphic mappings of Riemann surfaces of low genus”, Sibirsk. Mat. Zh., 51:6 (2010), 1379–1395; Siberian Math. J., 51:6 (2010), 1091–1103
Linking options:
https://www.mathnet.ru/eng/smj2168 https://www.mathnet.ru/eng/smj/v51/i6/p1379
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Abstract page: | 254 | Full-text PDF : | 98 | References: | 46 | First page: | 4 |
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