Middle convolution of Fuchsian systems and the construction of rigid differential systems
نویسندگان
چکیده
In [6], a purely algebraic analogon of Katz’ middle convolution functor (see [10]) is given. In this paper, we find an explicit Riemann-Hilbert correspondence for this functor. This leads to a construction algorithm for differential systems which correspond to rigid local systems on the punctured affine line via the Riemann-Hilbert correspondence.
منابع مشابه
On the middle convolution
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 corres...
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