5 papers
On a conjecture by Kollár and SaccÃ
Pascal Autissier, Andrea Fanelli
In this note we study smooth commutative group schemes over curves, whose generic fibre is an abelian variety. We prove a modified version of the conjecture proposed in [KS25].
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…
A rationality criterion for real Fano threefolds
Andrea Fanelli, Frédéric Mangolte
We study the connectedness of the real locus of smooth geometrically rational Fano threefolds and prove a sufficient criterion of -rationality.
The Iskovskih Theorem for regular surfaces over imperfect fields
Andrea Fanelli, Stefan Schröer
We generalize Iskovskih's theorem about surfaces without irregularity and bigenus from the smooth case to regular surfaces over arbitrary fields, with special focus on the case of…
Maximal subgroups in the Cremona group
Andrea Fanelli, Enrica Floris, Susanna Zimmermann
We show that for any there exist connected algebraic subgroups in the Cremona group that are not contained in any maximal connected algebraic…