51 citations · 261 across the 27 of their papers we have counts for
21 papers · 1 filter
Uniformizing the moduli stacks of global -Shtukas II
Urs Hartl, Yujie Xu
We show that the moduli spaces of bounded global -Shtukas with pairwise colliding legs admit -adic uniformization isomorphisms by Rapoport-Zink spaces. Here $\mathc…
Crystalline Chebotarëv density theorems
Urs Hartl, Ambrus Pal
Using the Tannakian formalism, we formulate conjectural analogs of Chebotarëv's Density Theorem for -isocrystals over a smooth geometrically irreducible variety defined over a f…
Category Of C-Motives Over Finite Fields
Eamail Arasteh Rad, Urs Hartl
In this article we introduce and study a motivic category in the arithmetic of function fields, namely the category of motives over an algebraic closure of a finite field with…
Isogenies of abelian Anderson A-modules and A-motives
Urs Hartl
As a generalization of Drinfeld modules, Greg Anderson introduced abelian t-modules and t-motives over a perfect field. In this article we study relative versions of these over rin…
Pink's theory of Hodge structures and the Hodge conjecture over function fields
Urs Hartl, Ann-Kristin Juschka
In 1997 Richard Pink has clarified the concept of Hodge structures over function fields in positive characteristic, which today are called Hodge-Pink structures. They form a neutra…
Periods of Drinfeld modules and local shtukas with complex multiplication
Urs Hartl, Rajneesh Kumar Singh
Colmez conjectured a product formula for periods of abelian varieties over number fields with complex multiplication and proved it in some cases. His conjecture is equivalent to a…