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math-ph2026
A Tau function for -Painlevé VI as a Fredholm determinant
Harini Desiraju, Pieter Roffelsen
We give an analytic construction of a tau function for the -difference sixth Painlevé equation (PVI) as a Fredholm determinant through the general Riemann-Hilbert problem ass…
math-ph2026
Segre surfaces and geometry of the Painlevé equations
Nalini Joshi, Marta Mazzocco, Pieter Roffelsen
In this paper, we consider a six parameter family of affine Segre surfaces embedded in . For generic values of the parameters, this family is associated to the -dif…