48 citations · 51 across the 10 of their papers we have counts for
10 papers
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…
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…
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…
Finite automata and algebraic extensions of function fields
Kiran S. Kedlaya
We give an automata-theoretic description of the algebraic closure of the rational function field F_q(t) over a finite field, generalizing a result of Christol. The description tak…