On uniformizable representation for Abelian integrals
arXiv:1210.3951
Abstract
We show how the unformizable representation for Abelian integrals of nontrivial genera arise. The technique makes use of the famous Chudnovsky's Fuchsian linear differential equations and their relation to the sixth Painleve transcendent.
Final version, 7 pages; Painleve equations and related topics (Saint-Petersburg, 2011)