Regular singular stratified bundles and tame ramification

  title={Regular singular stratified bundles and tame ramification},
  author={L. Kindler},
  journal={Transactions of the American Mathematical Society},
  • L. Kindler
  • Published 2012
  • Mathematics
  • Transactions of the American Mathematical Society
  • Let X be a smooth variety over an algebraically closed field k of positive characteristic. We define and study a general notion of reg- ular singularities for stratified bundles (i.e. OX-coherent DX/k-modules) on X without relying on resolution of singularities. The main result is that the category of regular singular stratified bundles with finite mon- odromy is equivalent to the category of continuous representations of the tame fundamental group on finite dimensional k-vector spaces. As a… CONTINUE READING
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