48 citations · 55 across the 14 of their papers we have counts for
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On the geometry of p-typical covers in characteristic p
Kiran S. Kedlaya
A p-typical cover of a connected scheme on which p=0 is a finite etale cover whose monodromy group (i.e., the Galois group of its normal closure) is a p-group. The geometry of such…
More etale covers of affine spaces in positive characteristic
Kiran S. Kedlaya
We prove that every geometrically reduced projective variety of pure dimension n over a field of positive characteristic admits a morphism to projective n-space, etale away from th…
Finiteness of rigid cohomology with coefficients
Kiran S. Kedlaya
We prove that for any field k of characteristic p>0, any separated scheme X of finite type over k, and any overconvergent F-isocrystal E over X, the rigid cohomology H^i(X, E) and…
Etale covers of affine spaces in positive characteristic
Kiran S. Kedlaya
We prove that every projective variety of dimension n over a field of positive characteristic admits a morphism to projective n-space, etale away from the hyperplane H at infinity,…
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…