4 papers
Equisingular lifting of semi-log canonical -split -trivial surfaces
Fabio Bernasconi, Quentin Posva
We show that a projective globally -split semi-log canonical -trivial surface over an algebraically closed field of characteristic admits an equisingular lifting over t…
Geometry and arithmetic of geometrically integral regular del Pezzo surfaces
Fabio Bernasconi, Hiromu Tanaka
We classify geometrically integral regular del Pezzo surfaces which are not geometrically normal over imperfect fields of positive characteristic. Based on this classification, we…
Explicit Sarkisov program for regular surfaces over arbitrary fields and applications
Fabio Bernasconi, Andrea Fanelli, Julia Schneider +1
We prove the Sarkisov program for projective surfaces over excellent base rings, including the case of non-perfect base fields of characteristic . We classify the Sarkisov…
Geometry of 3-dimensional del Pezzo fibrations in positive characteristic
Fabio Bernasconi
We survey some of the recent works on the geometry of del Pezzo surfaces over imperfect fields, with applications to 3-dimensional del Pezzo fibrations in positive characteristic.…