7 papers
Compatibility of -isocrystals on adjoint Shimura varieties
Jake Huryn, Kiran S. Kedlaya, Christian Klevdal +1
In this article, we extend past results of the last two authors to include compatibility of canonical -adic local systems and canonical -isocrystals on adjoint Shimura var…
Etale and crystalline companions, II
Kiran S. Kedlaya
Let be a smooth scheme over a finite field of characteristic . In answer to a conjecture of Deligne, we establish that for any prime , an -adic Weil sheaf…
On the relative Nullstellensatz in nonarchimedean geometry
Kiran S. Kedlaya, Yutaro Mikami
We establish a relative version of the Nullstellensatz for algebras topologically of finite type over a given Banach Tate ring , under the assumption that the corresponding stat…
The exceptional set in Cassel's theorem on small cyclotomic integers
Jitendra Bajpai, Srijan Das, Kiran S. Kedlaya +4
In a 1965 paper, R. Robinson made five conjectures about the classification of cyclotomic algebraic integers for which the maximum absolute value in any complex embedding (the hous…
Monodromy representations of -adic differential equations in families
Kiran S. Kedlaya
We derive a relative version of the local monodromy theorem for ordinary differential equations on an annulus over a mixed-characteristic nonarchimedean field, and give several app…
Bounds for the relative class number problem for function fields
Santiago Arango-Piñeros, MarÃa Chara, Asimina S. Hamakiotes +2
We establish bounds on a finite separable extension of function fields in terms of the relative class number, thus reducing the problem of classifying extensions with a fixed relat…