scholarly journals A note on an abelian covering surface. II.

1964 ◽  
Vol 16 (3) ◽  
pp. 129-168
Author(s):  
Hisao Mizumoto
Keyword(s):  
Covering Surface ◽  
Abelian Covering

scholarly journals An Inequality of Meromorphic Functions and Its Application

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Zhaojun Wu ◽  
Yuxian Chen ◽  
Zuxing Xuan
Keyword(s):  
Meromorphic Function ◽  
Meromorphic Functions ◽  
Angular Domain ◽  
Covering Surface

By applying Ahlfors theory of covering surface, we establish a fundamental inequality of meromorphic function dealing with multiple values in an angular domain. As an application, we prove the existence of some new singular directions for a meromorphic functionf, namely a Bloch direction and a pseudo-T direction forf.

scholarly journals Indecomposable branched coverings over the projective plane by surfaces M with χ(M) ≤ 0

2018 ◽  
Vol 27 (05) ◽  
pp. 1850030
Author(s):  
Natalia A. Viana Bedoya ◽  
Daciberg Lima Gonçalves ◽  
Elena A. Kudryavtseva
Keyword(s):  
Projective Plane ◽  
Euler Characteristic ◽  
Covering Surface ◽  
Branched Coverings ◽  
Branched Covering

In this work, we study the decomposability property of branched coverings of degree [Formula: see text] odd, over the projective plane, where the covering surface has Euler characteristic [Formula: see text]. The latter condition is equivalent to say that the defect of the covering is greater than [Formula: see text]. We show that, given a datum [Formula: see text] with an even defect greater than [Formula: see text], it is realizable by an indecomposable branched covering over the projective plane. The case when [Formula: see text] is even is known.

A Covering Surface Conjecture of Brannan and Kirwan

1982 ◽  
Vol 14 (1) ◽  
pp. 39-42 ◽  
Author(s):  
A. Lyzzaik ◽  
D. Styer
Keyword(s):  
Covering Surface
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