3 papers
math.AG2026
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,-…
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.AG2025
Invariance of plurigenera and good minimal models
Iacopo Brivio
Nakayama showed that deformation invariance of plurigenera for smooth complex varieties follows from the MMP and Abundance Conjectures. We generalize his result to families of sing…