Isomonodromic deformations in genus zero and one: algebrogeometric solutions and Schlesinger transformations
Mathematical Physics
2016-09-07 v1 Algebraic Geometry
math.MP
Abstract
Here we review some recent developments in the theory of isomonodromic deformations on Riemann sphere and elliptic curve. For both cases we show how to derive Schlesinger transformations together with their action on tau-function, and construct classes of solutions in terms of multi-dimensional theta-functions.
Keywords
Cite
@article{arxiv.math-ph/0003016,
title = {Isomonodromic deformations in genus zero and one: algebrogeometric solutions and Schlesinger transformations},
author = {D. Korotkin},
journal= {arXiv preprint arXiv:math-ph/0003016},
year = {2016}
}
Comments
to appear in CRM publications, ed. by G.Sabidussi, AMS, 2000