48 citations · 55 across the 14 of their papers we have counts for
10 papers · 1 filter
The p-adic local monodromy theorem for fake annuli
Kiran S. Kedlaya
We establish a generalization of the p-adic local monodromy theorem (of Andre, Mebkhout, and the author) in which differential equations on rigid analytic annuli are replaced by di…
Slope filtrations revisited
Kiran S. Kedlaya
We give a "second generation" exposition of the slope filtration theorem for modules with Frobenius action over the Robba ring, providing a number of simplifications in the argumen…
Local monodromy of p-adic differential equations: an overview
Kiran S. Kedlaya
This primarily expository article collects together some facts from the literature about the monodromy of differential equations on a p-adic (rigid analytic) annulus, though often…
Quantum computation of zeta functions of curves
Kiran S. Kedlaya
We exhibit a quantum algorithm for determining the zeta function of a genus g curve over a finite field F_q, which is polynomial in g and log(q). This amounts to giving an algorith…
In search of Robbins stability
Kiran S. Kedlaya, James G. Propp
We speculate on whether a certain p-adic stability phenomenon, observed by David Robbins empirically for Dodgson condensation, appears in other nonlinear recurrence relations that…
Computing zeta functions via p-adic cohomology
Kiran S. Kedlaya
We survey some recent applications of p-adic cohomology to machine computation of zeta functions of algebraic varieties over finite fields of small characteristic, and suggest some…