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math.AG2021★ 1 cited
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}_…
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…
math.AG2021
Global Frobenius Liftability II: Surfaces and Fano Threefolds
Piotr Achinger, Jakub Witaszek, Maciej Zdanowicz
In this article, a sequel to "Global Frobenius Liftability I" (math:1708:03777v2), we continue the development of a comprehensive theory of Frobenius liftings modulo . We stud…