English

On exceptional rigid local systems

Algebraic Geometry 2007-05-23 v1

Abstract

We prove new instances of Simpson's rigidity conjecture which states that quasi-unipotent rigid local systems should be motivic. We construct new relative motives over the fourfold punctured Riemann sphere which give rise to G2G_2-rigid local systems which are not rigid in the group \GL7.\GL_7.

Keywords

Cite

@article{arxiv.math/0609142,
  title  = {On exceptional rigid local systems},
  author = {Michael Dettweiler and Stefan Reiter},
  journal= {arXiv preprint arXiv:math/0609142},
  year   = {2007}
}