2 citations · 3 across the 5 of their papers we have counts for
4 papers · 1 filter
The condensed homotopy type of a scheme
Peter J. Haine, Tim Holzschuh, Marcin Lara +3
We study a condensed version of the étale homotopy type of a scheme, which refines both the usual étale homotopy type of Friedlander-Artin-Mazur and the proétale fundamental group…
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}_…
Homotopy Exact Sequence for the Pro-Étale Fundamental Group II
Marcin Lara
The pro-étale fundamental group of a scheme, introduced by Bhatt and Scholze, generalizes the usual étale fundamental group defined in SGA1 and leads to an inte…