Slope filtrations

By Y. Andr'e. 2008

48 citations recorded by the source corpus.

Many slope filtrations occur in algebraic geometry, asymptotic analysis, ramification theory, p-adic theories, geom try of numbers... These functorial filtrations, which are indexed by r ational (or sometimes real) numbers, have a lot of common properties. We propose a unified abstract treatment of slope filtrations, a d survey how new ties between different domains have been woven by dint of deep correspondences between different concrete slope filt rations.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c036c814b7debc9b805d52e9ae84a416fe431bd4