6 citations · 15 across the 4 of their papers we have counts for
4 papers · 1 filter
Minimal slope conjecture of -isocrystals
Nobuo Tsuzuki
The minimal slope conjecture, which was proposed by K.Kedlaya, asserts that two irreducible overconvergent -isocrystals on a smooth variety are isomorphic to each other if both…
Constancy of Newton polygons of -isocrystals on Abelian varieties and isotriviality of families of curves
Nobuo Tsuzuki
We prove constancy of Newton polygons of all convergent -isocrystals on Abelian varieties over finite fields. Applying the constancy, we prove the isotriviality of projective sm…
Clemens-Schmid exact sequence in characteristic p
Bruno Chiarellotto, Nobuo Tsuzuki
For a semistable family of varieties over a curve in characteristic , we prove the existence of a "Clemens-Schmid type" long exact sequence for the -adic cohomology. The coho…
Overholonomicity of overconvergent -isocrystals over smooth varieties
Daniel Caro, Nobuo Tsuzuki
We prove the overholonomicity of overconvergent -isocrystals over smooth varieties. This implies that the notions of overholonomicity and devissability in overconvergent -iso…