6 papers
The tempered disk and the tempered cohomology
Federico Bambozzi, Bruno Chiarellotto, Pietro Vanni
Let V be a complete discretely valued ring of mixed characteristic, with fraction field K and residue field k. Using the ind-Banach framework for derived analytic geometry, we view…
Good reduction of K3 Surfaces in equicharacteristic p
Bruno Chiarellotto, Christopher Lazda, Christian Liedtke
We show that for smooth and proper varieties over local fields with no non-trivial vector fields, good reduction descends over purely inseparable extensions. We use this to extend…
The filtered Ogus realisation of motives
Bruno Chiarellotto, Christopher Lazda, Nicola Mazzari
We construct the (filtered) Ogus realisation of Voevodsky motives over a number field . This realisation extends the functor defined on -motives by Andreatta, Barbieri-Viale…
A Néron-Ogg-Shafarevich criterion for K3 surfaces
Bruno Chiarellotto, Christopher Lazda, Christian Liedtke
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 , with unramified $…
Around -independence
Bruno Chiarellotto, Christopher Lazda
In this article we study various forms of -independence (including the case ) for the cohomology and fundamental groups of varieties over finite fields and equicharac…
Arithmetic and Differential Swan Conductors of rank one representations with finite local monodromy
Bruno Chiarellotto, Andrea Pulita
We consider a complete discrete valuation field of characteristic p, with possibly non perfect residue field. Let V be a rank one continuous representation with finite local monodr…