3 papers
math.AG2026
Brauer--Manin obstruction from failure of Kodaira vanishing in positive characteristic
Fabio Bernasconi, Domenico Valloni
We study the Brauer-Manin set of smooth projective surfaces over global fields of positive characteristic for which Kodaira vanishing fails. Our results apply in particular to Rayn…
math.AG2026
On surfaces with smooth projective models over
Fabio Bernasconi, Gebhard Martin, Zsolt Patakfalvi
In this expository article, we prove a birational classification of smooth projective models of surfaces with negative Kodaira dimension over and over more general rin…
math.AG2024
A strong counterexample to the log canonical Beauville--Bogomolov decomposition
Fabio Bernasconi, Stefano Filipazzi, Zsolt Patakfalvi +1
For every , we construct a -dimensional, log canonical, -trivial variety with the property that two general fibers of its Albanese morphism are not birational. This…