23 citations · 28 across the 4 of their papers we have counts for
7 papers · 1 filter
Unirational del Pezzo surfaces of degree one
Ivan Cheltsov, Konstantin Loginov, Dmitri Orlov +1
We construct explicit unirational del Pezzo surfaces of degree with arithmetic Picard rank one over , , and . Moreover, we prove that e…
Affine cones over Fano-Mukai fourfolds of genus 10 are flexible
Yuri Prokhorov, Mikhail Zaidenberg
We show that the affine cones over any Fano-Mukai fourfold of genus 10 are flexible; in particular, the automorphism group of such a cone acts highly transitively outside the verte…
Birational self-maps of threefolds of (un)-bounded genus or gonality
Jérémy Blanc, Ivan Cheltsov, Alexander Duncan +1
We study the complexity of birational self-maps of a projective threefold by looking at the birational type of surfaces contracted. These surfaces are birational to the product…
Finite quasisimple groups acting on rationally connected threefolds
Jérémy Blanc, Ivan Cheltsov, Alexander Duncan +1
We show that the only finite quasi-simple non-abelian groups that can faithfully act on rationally connected threefolds are the following groups: , $\operatorname{P…
New examples of cylindrical Fano fourfolds
Yuri Prokhorov, Mikhail Zaidenberg
We construct new families of smooth Fano fourfolds with Picard rank 1, which contain cylinders, i.e., Zariski open subsets of form , where is a quasiprojective var…
Unipotent Group Actions on Del Pezzo Cones
Takashi Kishimoto, Yuri Prokhorov, Mikhail Zaidenberg
In a previous paper we established that for any del Pezzo surface Y of degree at least 4, the affine cone X over Y embedded via a pluri-anticanonical linear system admits an effect…