- HIROSHIMA UNIV, GRAD SCH SCI
We give a description of confluence for the general Schlesinger systems (GSS) from the view point of twistor theory. GSS is a system of nonlinear differential equations on the Grassmannian manifold G(2,N)(C) which is obtained, for any partition lambda of N, as the integrability condition of a connection del(lambda) on P-1 x G(2,N) constructed using the twistor-theoretic point of view and is known to describe isomonodromic deformation of linear differential equations on the projective space P-1. For a pair of partitions lambda, mu of N such that mu is obtained from lambda by making two parts into one parts and leaving other parts unchanged, we construct the limit process del(lambda) -> del(mu) and as a result the confluence for GSS.
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