Geodesic
On Irregular Holomorphic Mappings between Riemann Surfaces of Genera Four and Two
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 2, pp. 72-79

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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. 
@article{VNGU_2009_9_2_a7,
     author = {I. A. Mednykh},
     title = {On {Irregular} {Holomorphic} {Mappings} between {Riemann} {Surfaces} of {Genera} {Four} and {Two}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {72--79},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2009_9_2_a7/}
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I. A. Mednykh. On Irregular Holomorphic Mappings between Riemann Surfaces of Genera Four and Two. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 2, pp. 72-79. http://geodesic.mathdoc.fr/item/VNGU_2009_9_2_a7/