On exceptional rigid local systems

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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 $G_2$-rigid local systems which are not rigid in the group $\GL_7.$

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/116390

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609142
 http://arxiv.org/abs/math/0609142

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arXiv