22 citations · 60 across the 8 of their papers we have counts for
9 papers · 1 filter
Connected algebraic groups acting on three-dimensional Mori fibrations
Jérémy Blanc, Andrea Fanelli, Ronan Terpereau
We study the connected algebraic groups acting on Mori fibrations with a rational threefold and . More precisely, for these fibre spaces we co…
The maximal unipotent finite quotient, unusual torsion in Fano threefolds, and exceptional Enriques surfaces
Andrea Fanelli, Stefan Schröer
We introduce and study the maximal unipotent finite quotient for algebraic group schemes in positive characteristics. Applied to Picard schemes, this quotient encodes unusual torsi…
Rational curves on and rational simple connectedness
Andrea Fanelli, Laurent Gruson, Nicolas Perrin
In this paper the notion of rational simple connectedness for the quintic Fano threefold is studied and unirationality of the moduli spaces $\overline{M}_…
Del Pezzo surfaces and Mori fiber spaces in positive characteristic
Andrea Fanelli, Stefan Schröer
We settle a question that originates from results and remarks by Kollár on extremal ray in the minimal model program: In positive characteristics, there are no Mori fibrations on t…
A note on the fibres of Mori fibre spaces
Giulio Codogni, Andrea Fanelli, Roberto Svaldi +1
In this note we consider the problem of determining which Fano manifolds can be realised as fibres of a Mori fibre space. In particular, we study the case of toric varieties, Fano…
The blow-up of at 8 points and its Fano model, via vector bundles on a del Pezzo surface
C. Casagrande, G. Codogni, A. Fanelli
Building on the work of Mukai, we explore the birational geometry of the moduli spaces M_{S,L} of semistable rank two torsion-free sheaves, with c_1=-K_S and c_2=2, on a polarized…
Automorphisms of -bundles over rational surfaces
Jérémy Blanc, Andrea Fanelli, Ronan Terpereau
In this paper we provide the complete classification of -bundles over smooth projective rational surfaces whose neutral component of the automorphism group is maximal…
Effective Matsusaka's Theorem for surfaces in characteristic p
Gabriele Di Cerbo, Andrea Fanelli
We obtain an effective version of Matsusaka's theorem for arbitrary smooth algebraic surfaces in positive characteristic, which provides an effective bound on the multiple which ma…
Fano varieties in Mori fibre spaces
Giulio Codogni, Andrea Fanelli, Roberto Svaldi +1
We show that being a general fibre of a Mori fibre space is a rather restrictive condition for a Fano variety. More specifically, we obtain two criteria (one sufficient and one nec…