Slope filtrations revisited

  • Kiran S. Kedlaya

    Dept. of Mathematics Massachusetts Institute of Technology 77 Massachusetts Avenue Cambridge, MA 02139 USA
Slope filtrations revisited cover
Download PDF

This article is published open access.


We give a "second generation" exposition of the slope filtration theorem for modules with Frobenius action over the Robba ring, providing a number of simplifications in the arguments. Some of these are inspired by parallel work of Hartl and Pink, which points out some analogies with the formalism of stable vector bundles.

Cite this article

Kiran S. Kedlaya, Slope filtrations revisited. Doc. Math. 10 (2005), pp. 447–525

DOI 10.4171/DM/197