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arXiv · 0812.3921

Slope filtrations

Yves André
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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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Yves André. 2009-04-03. Slope filtrations. https://arxiv.org/abs/0812.3921

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