Modular Invariants and Generalized Halphen Systems

Details Modular Invariants and Generalized Halphen Systems Modular Invariants and Generalized Halphen Systems

1999-02-17

arxiv.org/abs/solv-int/9902012v1

CRM Proceedings and Lecture Notes Series 25, Symmetries and Integrability of Difference Equations, pp. 181- 195 (eds. Decio Le

Physics

High Energy Physics

High Energy Physics - Theory

PlainTeX 15gs. Write - up of lecture by J. Harnad at International meeting: SIDE III, Sabaudia, May 16-22, 1998. To appear in

Scientific paper

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.

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