On the middle convolution
نویسندگان
چکیده
In [9], a purely algebraic analogon of Katz’ middle convolution functor (see [12]) is given. It is denoted by MCλ. In this paper, we present a cohomological interpretation of MCλ and find an explicit RiemannHilbert correspondence for this functor. This leads to an algorithm for the construction of Fuchsian systems corresponding to irreducible rigid local systems under the Riemann-Hilbert correspondence. Also, we describe the effect of MCλ on the p-curvatures and find new examples of differential equations for which the Grothendieck-Katz p-curvature conjecture holds.
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