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math.NT2002★ 2 cited
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…
math.NT2002
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…