This article is cited 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.

UDC: 517.545

Received: 09.10.2009

 English version: Siberian Mathematical Journal, 2010, 51:6, 1091–1103

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