Swan conductors for p-adic differential modules, II: Global variation
Abstract
Description
Using a local construction from a previous paper, we exhibit a numerical invariant, the differential Swan conductor, for an isocrystal on a variety over a perfect field of positive characteristic overconvergent along a boundary divisor; this leads to an analogous construction for certain p-adic and l-adic representations of the etale fundamental group of a variety. We then demonstrate some variational properties of this definition for overconvergent isocrystals, paying special attention to the case of surfaces.
34 pages; v3: major revisions in 3.4, 4.3, 5.x; minor changes elsewhere
34 pages; v3: major revisions in 3.4, 4.3, 5.x; minor changes elsewhere