48 citations · 99 across the 26 of their papers we have counts for
7 papers · 1 filter
Swan conductors for p-adic differential modules, I: A local construction
Kiran S. Kedlaya
We define a numerical invariant, the differential Swan conductor, for certain differential modules on a rigid analytic annulus over a p-adic field. This gives a definition of a con…
A formulation of difference Galois theory
Kiran S. Kedlaya
As a simple corollary of a highly general framework for differential and difference Galois theory introduced by Y. Andre, we formulate a version of the Galois correspondence that a…
Slope filtrations for relative Frobenius
Kiran S. Kedlaya
The slope filtration theorem gives a partial analogue of the eigenspace decomposition of a linear transformation, for a Frobenius-semilinear endomorphism of a finite free module ov…
Search techniques for root-unitary polynomials
Kiran S. Kedlaya
We give an anecdotal discussion of the problem of searching for polynomials with all roots on the unit circle, whose coefficients are rational numbers subject to certain congruence…
Basis discrepancies for extensions of valued fields
Kiran. S. Kedlaya
Let F be a field complete for a real valuation. It is a standard result in valuation theory that a finite extension of F admits a valuation basis if and only if it is without defec…
Bounding Picard numbers of surfaces using p-adic cohomology
Timothy G. Abbott, Kiran S. Kedlaya, David Roe
Motivated by an application to LDPC (low density parity check) algebraic geometry codes described by Voloch and Zarzar, we describe a computational procedure for establishing an up…