51 citations · 261 across the 27 of their papers we have counts for
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Arithmetic Satake compactifications and algebraic Drinfeld modular forms
Urs Hartl, Chia-Fu Yu
In this article we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away fro…
Product Formulas for Periods of CM Abelian Varieties and the Function Field Analog
Urs Hartl, Rajneesh Kumar Singh
We survey Colmez's theory and conjecture about the Faltings height and a product formula for the periods of abelian varieties with complex multiplication, along with the function f…
The generic fiber of moduli spaces of bounded local -shtukas
Urs Hartl, Eva Viehmann
Moduli spaces of bounded local -shtukas are a group-theoretic generalization of the function field analog of Rapoport and Zink's moduli spaces of -divisible groups. In this a…
Local Shtukas and Divisible Local Anderson Modules
Urs Hartl, Rajneesh Kumar Singh
We develop the analog of crystalline Dieudonné theory for p-divisible groups in the arithmetic of function fields. In our theory p-divisible groups are replaced by divisible local…
Foliations in deformation spaces of local G-shtukas
Urs Hartl, Eva Viehmann
We study local G-shtukas with level structure over a base scheme whose Newton polygons are constant on the base. We show that after a finite base change and after passing to an éta…
The Newton stratification on deformations of local G-shtukas
U. Hartl, E. Viehmann
Bounded local G-shtukas are function field analogs for p-divisible groups with extra structure. We describe their deformations and moduli spaces. The latter are analogous to Rapopo…