3 papers
math.AG2026
Base-change of locally stable families in positive characteristic
Marta Benozzo, Quentin Posva
We investigate the permanence of local stability for one-parameter families under finite flat base-changes, when the base-field has positive characteristic . Building…
math.AC2025
Bounds on the plus-pure thresholds of some hypersurfaces in (ramified) regular rings
Marta Benozzo, Vignesh Jagathese, Vaibhav Pandey +3
We study the plus-pure threshold (ppt) of hypersurfaces in mixed characteristic. We show that the ppt limits to the -pure threshold (fpt) as we ramify the base DVR. Additionally…
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…