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Regular singular stratified bundles and tame ramification

Regular singular stratified bundles and tame ramification

Let $X$ be a smooth variety over an algebraically closed field $k$ of positive characteristic. We define and study a general notion of regular singularities for stratified bundles (i.e. $\mathcal {O}_X$-coherent $\mathscr {D}_{X/k}$-modules) on $X$ without relying on resolution of singularities. The main result is that the category of regular …