5 papers
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…
On the canonical bundle formula in positive characteristic
Marta Benozzo
Let be a fibration from a normal projective variety of dimension onto a normal curve over a perfect field of characteristic . Let be a dlt pa…
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…
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,-…
On the Iitaka conjecture for anticanonical divisors in positive characteristic
Marta Benozzo
Given a fibration over a perfect field of positive characteristic, we study an Iitaka-type inequality for the anticanonical divisors. We conclude that it holds when the source of t…