3 papers
math.AG2025
Non-extendable MMPs
Iacopo Brivio
We construct examples of families of pairs over a DVR of positive characteristic, with very mild singularities, such that the MMP on the closed fiber does not extend to a relative…
math.AG2023
On the superadditivity of anticanonical Iitaka dimension
Marta Benozzo, Iacopo Brivio, Chi-Kang Chang
Given a fibration with normal general fibre , over a field of any characteristic, we establish the Iitaka-type inequality $κ(X,-K_X) \leq κ(X_y,-K_{X_y})+κ(Y,-K_Y…
math.AG2023
Arithmetic and geometric deformations of 3-folds
Fabio Bernasconi, Iacopo Brivio, Stefano Filipazzi
We show that mixed-characteristic and equi-characteristic small deformations of 3-dimensional canonical (resp. terminal) singularities with perfect residue field of characteristic…