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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 6, Pages 1379–1395 (Mi smj2168)  
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
Full-text PDF (412 kB) Citations (2)
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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
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 6, Pages 1091–1103
DOI: https://doi.org/10.1007/s11202-010-0107-3
Bibliographic databases:
Document Type: Article
UDC: 517.545
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    References:37
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