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JOURNALS // Siberian Journal of Pure and Applied Mathematics // Archive

Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2009 Volume 9, Issue 2, Pages 72–79 (Mi vngu176)

On Irregular Holomorphic Mappings between Riemann Surfaces of Genera Four and Two

I. A. Mednykh

Novosibirsk State University

Abstract: In the present paper we describe the structure of irregular holomorphic mappings between Riemann surfaces of genera four and two. The regular was considered earlier by Takao Kato.
The obtained results are supposed to be used to give a sharp upper bound for the number of all holomorphic mappings between the above surfaces. This bound is still unknown yet.

UDC: 517.862+517.54

Received: 03.04.2009



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