On the middle convolution of local systems. With an Appendix by M. Dettweiler and S. Reiter

Details On the middle convolution of local systems. With an Appendix by M. Dettweiler and S. Reiter On the middle convolution of local systems. With an Appendix by M. Dettweiler and S. Reiter

2008-10-18

arxiv.org/abs/0810.3334v1

Mathematics

Algebraic Geometry

Scientific paper

We study the middle convolution of local systems and realize special linear
groups as Galois groups over the rationals. In the Appendix to this paper,
written jointly with Stefan Reiter, we prove the existence of a new motivic
local system with $G_2$-monodromy.

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