48 citations · 55 across the 14 of their papers we have counts for
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Fourier transforms and p-adic "Weil II"
Kiran S. Kedlaya
Building on work of Crew, we give a rigid cohomological analogue of the main result of Deligne's "Weil II"; this makes it possible to give a purely p-adic proof of the Weil conject…
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,…
Semistable reduction for overconvergent F-isocrystals on a curve
Kiran S. Kedlaya
Given a smooth affine curve X over a field k of positive characteristic, and an overconvergent F-isocrystal on X, we prove after replacing k by a finite purely inseparable extensio…