Abstract
Abstract We relate the theory of the middle convolution functor MCλ to the study of algebraic solutions of the sixth Painlevé equation PVI. We interpret some recently found algebraic solutions by Boalch in terms of the middle convolution. Then we show how to obtain algebraic solutions of PVI by starting with triples in GL2 and applying MCλ . The effect on the underlying Fuchsian systems can be described in a very simple manner.
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