On the middle convolution
Algebraic Geometry
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We present a cohomological interpretation of the middle convolution functor MC and find an explicit Riemann-Hilbert correspondence for MC_\lambda. This leads to an algorithm for the construction of Fuchsian systems which correspond to irreducible rigid local systems under the Riemann-Hilbert correspondence. Also, the effect of MC_\lambda on the p-curvatures ist determined and new examples of differential systems are found which satisfy the Grothendieck-Katz p-curvature conjecture.
Cite
@article{arxiv.math/0305311,
title = {On the middle convolution},
author = {Michael Dettweiler and Stefan Reiter},
journal= {arXiv preprint arXiv:math/0305311},
year = {2007}
}