4 papers
Vanishing theorems for threefolds in characteristic
Fabio Bernasconi, János Kollár
We prove Grauert-Riemenschneider-type vanishing theorems for excellent dlt threefolds pairs whose closed points have perfect residue fields of positive characteristic . Then w…
A vanishing theorem for threefolds in characteristic and applications
Fabio Bernasconi
In this note we show a Kawamata-Viehweg vanishing theorem for pl-contractions on threefolds in characteristic . We deduce several applications for klt threefolds: the vanishin…
On the base point free theorem for klt threefolds in large characteristic
Fabio Bernasconi
In this article we present a refinement of the base point free theorem for threefolds in positive characteristic. If is a nef Cartier divisor of numerical dimension at least on…
Non-normal purely log terminal centres in characteristic
Fabio Bernasconi
In this note we show, building on a recent work of Totaro, that for every prime number there exists a purely log terminal pair of dimension whose plt cent…