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A note on effective descent for overconvergent isocrystals
Christopher Lazda
In this short note we explain the proof that proper surjective and faithfully flat maps are morphisms of effective descent for overconvergent isocrystals. We then show how to deduc…
A homotopy exact sequence for overconvergent isocrystals
Christopher Lazda, Ambrus Pál
In this article we prove exactness of the homotopy sequence of overconvergent -adic fundamental groups for a smooth and projective morphism in characteristic . We do so by fi…
Cycle classes in overconvergent rigid cohomology and a semistable Lefschetz theorem
Christopher Lazda, Ambrus Pál
In this article we prove a semistable version of the variational Tate conjecture for divisors in crystalline cohomology, stating that a rational (logarithmic) line bundle on the sp…
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 $…