• DOI:10.1142/s179374420900002x
Corpus ID: 16822958

Slope filtrations

@inproceedings{Andre2008SlopeF,
  title={Slope filtrations},
  author={Y. Andre},
  year={2008}
}

Y. Andre

Published 2008

Mathematics

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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.