48 citations · 99 across the 26 of their papers we have counts for
8 papers · 2 filters
Full faithfulness for overconvergent F-isocrystals
Kiran S. Kedlaya
Let X be a smooth variety over a field of characteristic p>0. We prove that the forgetful functor from the category of overconvergent F-isocrystals on X to the category of converge…
A p-adic local monodromy theorem
Kiran S. Kedlaya
We produce a canonical filtration for locally free sheaves on an open p-adic annulus equipped with a Frobenius structure. Using this filtration, we deduce a conjecture of Crew on p…
Quasi-unipotence of overconvergent F-crystals
Kiran S. Kedlaya
Building on our previous papers (math.AG/0102173, math.AG/0105244, math.AG/0106192) we prove that every overconvergent F-isocrystal over k((t)) is quasi-unipotent (in the sense of…
The Newton polygons of overconvergent F-crystals
Kiran S. Kedlaya
R. Crew conjectured that every overconvergent F-isocrystal over k((t)) (k a field of positive characteristic) is quasi-unipotent (equivalently, potentially semistable), and so has…
Descent of morphisms of overconvergent F-crystals
Kiran S. Kedlaya
Tsuzuki has conjectured that for crystals with Frobenius and connection over a local field k((t)), the embedding of the category of overconvergent crystals into the category of con…
Crew's Euler characteristic formula fails for nonzero slopes
Kiran S. Kedlaya
A result of Crew implies that for an etale Galois p-cover of smooth proper varieties over a field of characteristic p, the alternating sum of the p-ranks of the cohomology groups b…