Geodesic
Families of elliptic functions and uniformization of complex tori with a unique point over infinity
Problemy analiza, Tome 7 (2018) no. 2, pp. 98-111

Voir la notice de l'article provenant de la source Math-Net.Ru

We investigate the problem of describing a one-parametric family of elliptic functions which uniformizes a given family of ramified coverings of the Riemann sphere with maximal possible ramification over infinity. We find a PDE for the family of functions and use it to deduce a system of ODEs for their critical points.
Keywords: Riemann surface, complex torus, elliptic function, uniformization. 
@article{PA_2018_7_2_a6,
     author = {S. R. Nasyrov},
     title = {Families of elliptic functions and uniformization of complex tori with a unique point over infinity},
     journal = {Problemy analiza},
     pages = {98--111},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2018_7_2_a6/}
}
TY  - JOUR
AU  - S. R. Nasyrov
TI  - Families of elliptic functions and uniformization of complex tori with a unique point over infinity
JO  - Problemy analiza
PY  - 2018
SP  - 98
EP  - 111
VL  - 7
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PA_2018_7_2_a6/
LA  - en
ID  - PA_2018_7_2_a6
ER  - 
%0 Journal Article
%A S. R. Nasyrov
%T Families of elliptic functions and uniformization of complex tori with a unique point over infinity
%J Problemy analiza
%D 2018
%P 98-111
%V 7
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PA_2018_7_2_a6/
%G en
%F PA_2018_7_2_a6
S. R. Nasyrov. Families of elliptic functions and uniformization of complex tori with a unique point over infinity. Problemy analiza, Tome 7 (2018) no. 2, pp. 98-111. http://geodesic.mathdoc.fr/item/PA_2018_7_2_a6/