Geodesic
Slope filtrations
Confluentes Mathematici, Tome 1 (2009) no. 1, pp. 1-85

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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.

Publié le :
DOI : 10.1142/S179374420900002X 
André, Yves. Slope filtrations. Confluentes Mathematici, Tome 1 (2009) no. 1, pp. 1-85. doi: 10.1142/S179374420900002X
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