3 papers
math.NT2026
On canonicity for integral models of Shimura varieties with hyperspecial level
Keerthi Madapusi, Alex Youcis
We give a new definition -- and in some cases, a new construction -- of integral canonical models of Shimura varieties that uses the notion of an aperture appearing in work of Gard…
math.NT2024
Canonical Integral Models of Shimura Varieties of Abelian Type
Patrick Daniels, Alex Youcis
We prove a conjecture of Pappas and Rapoport for all Shimura varieties of abelian type with parahoric level structure when by showing that the Kisin-Pappas-Zhou integral mode…
math.AG2021
Geometric arcs and fundamental groups of rigid spaces
Piotr Achinger, Marcin Lara, Alex Youcis
We develop the notion of a geometric covering of a rigid space X, which yields a much larger class of covering spaces than that studied previously by de Jong. Geometric coverings o…