English

Slope filtrations revisited

Number Theory 2007-05-23 v4 Commutative Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.math/0504204,
  title  = {Slope filtrations revisited},
  author = {Kiran S. Kedlaya},
  journal= {arXiv preprint arXiv:math/0504204},
  year   = {2007}
}

Comments

75 pages; v4: corrects minor errors in 4.3.5, 4.4.2, 6.3.1