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

2008/10/18 by Dettweiler, Michael
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0810.3334

Abstract

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 G₂-monodromy.

Related

• Galois realizations of classical groups and the middle convolution
• Katz's middle convolution algorithm
• Rigid local systems with monodromy group the Conway group Co₂
• Geometric local systems on the projective line minus four points
• Rigid local systems and finite general linear groups