45 citations · 81 across the 13 of their papers we have counts for
14 papers
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…
Fano-Mukai fourfolds of genus and their automorphism groups
Yuri Prokhorov, Mikhail Zaidenberg
The automorphism groups of the Fano-Mukai fourfold of genus 10 were studied in our previous paper [arXiv:1706.04926]. In particular, we found in [arXiv:1706.04926] the neutral comp…
Cylinders in Fano varieties
Ivan Cheltsov, Jihun Park, Yuri Prokhorov +1
This paper is a survey about cylinders in Fano varieties and related problems.
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…