Abstract
We construct spaces of initial conditions of Garnier system and its degenerate systems in two variables and describe them as symplectic manifolds. These systems are expressed as polynomial Hamiltonian systems on all affine charts.
An Isaac Newton Institute WorkshopPainleve Equations and Monodromy Problems: Recent DevelopmentsSpaces of initial conditions of Garnier system and its degenerate systems in two variablesAuthor: Masaki Suzuki (University of Tokyo) AbstractWe construct spaces of initial conditions of Garnier system and its degenerate systems in two variables and describe them as symplectic manifolds. These systems are expressed as polynomial Hamiltonian systems on all affine charts. |