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5 papers
Wild Brauer classes via prismatic cohomology
Emiliano Ambrosi, Rachel Newton, Margherita Pagano
Let be a finite extension of and a smooth proper -variety with good reduction. Under a mild assumption on the behaviour of Hodge numbers under reduction m…
On the topology of real algebraic stacks
Emiliano Ambrosi, Olivier de Gaay Fortman
Motivated by questions arising in the theory of moduli spaces in real algebraic geometry, we develop a range of methods to study the topology of the real locus of a Deligne-Mumford…
An Artin--Mumford criterion for conic bundles in characteristic two
Emiliano Ambrosi, Giuseppe Ancona
We prove a characteristic two version of the famous criterion of Artin and Mumford for irrationality of conic bundles. On the one hand, combined with the pathological behaviour of…
Geometrically simple counterexamples to a local-global principle for quadratic twists
Emiliano Ambrosi, Nirvana Coppola, Francesc Fité
Two abelian varieties and over a number field are said to be strongly locally quadratic twists if they are quadratic twists at every completion of . While it was kno…
Betti numbers of real semistable degenerations via real logarithmic geometry
Emiliano Ambrosi, Matilde Manzaroli
Let be a totally real semistable degeneration over a smooth real curve with degenerate fiber . Assuming that the irreducible components of are simpl…