Theory of weights in p-adic cohomology
Algebraic Geometry
2017-02-07 v4 Number Theory
Abstract
Let k be a finite field of characteristic p>0. We construct a theory of weights for overholonomic complexes of arithmetic D-modules with Frobenius structure on varieties over k. The notion of weight behave like Deligne's one in the l-adic framework: first, the six operations preserve weights, and secondly, the intermediate extension of an immersion preserves pure complexes and weights.
Keywords
Cite
@article{arxiv.1303.0662,
title = {Theory of weights in p-adic cohomology},
author = {Tomoyuki Abe and Daniel Caro},
journal= {arXiv preprint arXiv:1303.0662},
year = {2017}
}