Tamely ramified torsors and parabolic bundles

Abstract

Given a variety $X$, and a normal crossings divisor $D\subset X$, we relate, in the case of abelian monodromy, the following two: 1. existence of a $G$-torsor with prescribed ramification, and 2. existence of essentially finite parabolic vector bundles with prescribed weights.

arXiv commentFinal version; to appear in Annali della Scuola Normale Superiore di Pisa