Modular Invariants and Generalized Halphen Systems
solv-int
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
Dynamical Systems
Group Theory
math.MP
Number Theory
Exactly Solvable and Integrable Systems
Abstract
Generalized Halphen systems are solved in terms of functions that uniformize genus zero Riemann surfaces, with automorphism groups that are commensurable with the modular group. Rational maps relating these functions imply subgroup relations between their automorphism groups and symmetrization relations between the associated differential systems.
Cite
@article{arxiv.solv-int/9902012,
title = {Modular Invariants and Generalized Halphen Systems},
author = {J. Harnad and J. McKay},
journal= {arXiv preprint arXiv:solv-int/9902012},
year = {2007}
}
Comments
PlainTeX 15gs. Write - up of lecture by J. Harnad at International meeting: SIDE III, Sabaudia, May 16-22, 1998. To appear in CRM Proceedings and Lecture Notes series (1999/2000)