Slope filtrations

Details Slope filtrations Slope filtrations

Publishing date

2008-12-19

URL

arxiv.org/abs/0812.3921v2

Science

Mathematics

Field

Algebraic Geometry

Type

Scientific paper

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.

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