4 papers
The Frobenius--stable version of the Grauert--Riemenschneider vanishing theorem fails
Jefferson Baudin, Fabio Bernasconi, Tatsuro Kawakami
We show that the Frobenius--stable version of the Grauert--Riemenschneider vanishing theorem fails for threefolds in any positive characteristic, and for terminal 3-folds in charac…
Rational points on 3-folds with nef anti-canonical class over finite fields
Fabio Bernasconi, Stefano Filipazzi
We prove that a geometrically integral smooth 3-fold with nef anti-canonical class and negative Kodaira dimension over a finite field of characteristic and…
Bounding geometrically integral del Pezzo surfaces
Fabio Bernasconi, Gebhard Martin
We prove several boundedness statements for geometrically integral normal del Pezzo surfaces over arbitrary fields. We give an explicit sharp bound on the irregularity if i…
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.