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arXiv · 1707.04395

Stratified bundles and Representation spaces

Xiaotao Sun
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Abstract

For a given stratified bundle $E$ on $X$, we construct an irreducible closed subvariety $\sN(E)_S$ of the so called representation space $R(\sO_{X_S},ξ_S,P)\to S$ such that $\sN(E)_S(\overline{\mathbb{F}}_q)$ contains a dense set of $(V,β)$ where $V$ is induced by a representation of $π_1^{{\rm \acute{e}t}}(X)$ (Theorem \ref{thm3.7}). As an application, we give a simply proof of the main theorem of \cite{EM} and its relative version (Theorem \ref{thm4.2}).

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Xiaotao Sun. 2017-07-14. Stratified bundles and Representation spaces. https://arxiv.org/abs/1707.04395

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