Slope filtrations
Algebraic Geometry
2009-04-04 v2
Abstract
Many slope filtrations occur in algebraic geometry, asymptotic analysis, ramification theory, p-adic theories, geometry of numbers... These functorial filtrations, which are indexed by rational (or sometimes real) numbers, have a lot of common properties. We propose a unified abstract treatment of slope filtrations, and survey how new ties between different domains have been woven by dint of deep correspondences between different concrete slope filtrations.
Cite
@article{arxiv.0812.3921,
title = {Slope filtrations},
author = {Yves André},
journal= {arXiv preprint arXiv:0812.3921},
year = {2009}
}