5 citations · 9 across the 9 of their papers we have counts for
4 papers · 1 filter
Beauville-Laszlo gluing of algebraic spaces
Piotr Achinger, Alex Youcis
For a complete discrete valuation field , we show that one may always glue a separated formal algebraic space over to a separated algebraic space…
The analytic topology suffices for the -Grassmannian
Kestutis Cesnavicius, Alex Youcis
The -affine Grassmannian was introduced by Scholze in the context of the geometric local Langlands program in mixed characteristic and is the Fargues-Fontaine cu…
Variants of the de Jong fundamental group
Piotr Achinger, Marcin Lara, Alex Youcis
For a rigid space , we answer two questions of de Jong about the category of coverings which are locally in the admissible topology on the disj…
Specialization for the pro-étale fundamental group
Piotr Achinger, Marcin Lara, Alex Youcis
For a formal scheme of finite type over a complete rank one valuation ring, we construct a specialization morphism \[ π^{\rm dJ}_1(\mathfrak{X}_η) \to π^{\rm proet}_…