The Elliptic Representation of the General Painlevé 6 Equation

Details The Elliptic Representation of the General Painlevé 6 Equation The Elliptic Representation of the General Painlevé 6 Equation

2001-08-10

arxiv.org/abs/math/0108073v2

Communications 0n Pure and Applied mathematics LV, 1280-1363 (2002)

Mathematics

Complex Variables

60 pages; Latex; 3 figures. The statements of theorems have been simplified

Scientific paper

We study the analytic properties and the critical behavior of the elliptic
representation of solutions of the Painlev\'e 6 equation. We solve the
connection problem for elliptic representation in the generic case and in a
non-generic case equivalent to WDVV equations of associativity.

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