Periodic Solutions to Painlevé VI and Dynamical System on Cubic Surface

Details Periodic Solutions to Painlevé VI and Dynamical System on Cubic Surface Periodic Solutions to Painlevé VI and Dynamical System on Cubic Surface

2005-12-27

arxiv.org/abs/math/0512583v3

Mathematics

Algebraic Geometry

26 pages, 10 figures, 4 tables

Scientific paper

The number of periodic solutions to Painlev\'e VI along a Pochhammer loop is counted exactly. It is shown that the number grows exponentially with period, where the growth rate is determined explicitly. Principal ingredients of the computation are a moduli-theoretical formulation of Painlev\'e VI, a Riemann-Hilbert correspondence, the dynamical system of a birational map on a cubic surface, and the Lefschetz fixed point formula.

Affiliated with

Also associated with

No associations

Rating

Periodic Solutions to Painlevé VI and Dynamical System on Cubic Surface does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Periodic Solutions to Painlevé VI and Dynamical System on Cubic Surface, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Periodic Solutions to Painlevé VI and Dynamical System on Cubic Surface will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-291081