2 citations · 2 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
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…
Lifting globally -split surfaces to characteristic zero
Fabio Bernasconi, Iacopo Brivio, Tatsuro Kawakami +1
We prove that every globally -split surface admits an equisingular lifting over the ring of Witt vectors.
Abundance theorem for threefolds in mixed characteristic
Fabio Bernasconi, Iacopo Brivio, Liam Stigant
We show the abundance theorem for arithmetic klt threefold pairs whose closed point have residue characteristic greater than five. As a consequence, we give a sufficient condition…
Invariance of plurigenera fails in positive and mixed characteristic
Iacopo Brivio
We construct smooth families of elliptic surface pairs with terminal singularities over a DVR of positive or mixed characteristic , such that $P_m(X_k,B_k)…