We give new instances where Chabauty–Kim sets can be proved to be finite, by developing
a notion of “generalised height functions” on Selmer varieties. We also explain how to …

We prove a Néron–Ogg–Shafarevich type criterion for good reduction of K3 surfaces, which
states that a K3 surface over a complete discrete valuation field has potential good reduction …

We interpret syntomic cohomology defined in [50] as a p-adic absolute Hodge cohomology.
This is analogous to the interpretation of Deligne–Beilinson cohomology as an absolute …

The naive analogue of the Néron–Ogg–Shafarevich criterion is false for K3 surfaces, that is,
there exist K3 surfaces over Henselian, discretely valued fields K, with unramified ℓ‐adic …

In the present paper, we study the geometry of the stable models of proper hyperbolic curves
over p-adic local fields via the study of the geometrically pro-p étale fundamental groups of …

In this paper, we prove compatibilities of various definitions of relatively unipotent log de
Rham fundamental groups for certain proper log smooth integral morphisms of fine log …

On the Homotopy Exact Sequence for Log Algebraic Fundamental Groups Page 1 Documenta
Math. 543 On the Homotopy Exact Sequence for Log Algebraic Fundamental Groups Valentina …

Around c-independence Page 1 Around c-independence Bruno Chiarellotto and Christopher
Lazda Compositio Math. 154 (2018), 223–248. doi:10.1112/S0010437X17007527 …

Let K be a finite extension of Qp with residue field of size q, and fix a prime l= p. Fix a choice
of geometric Frobenius ϕK∈ GK and an element σ∈ IK of inertia which generates tame …

In this paper, we prove compatibilities of various definitions of relatively unipotent log de
Rham fundamental groups for certain proper log smooth integral morphisms of fine log …