6 papers · 1 filter
Simple subgroups of the real space Cremona group
Ivan Cheltsov, Antoine Pinardin, Yuri Prokhorov
We show that the alternating groups and are the only finite simple non-abelian subgroups of the group of birational selfmaps of the real three-dim…
Finite abelian groups acting on rationally connected threefolds II: groups of K3 type
Konstantin Loginov, Antoine Pinardin, Zhijia Zhang
We study finite abelian groups acting on three-dimensional rationally connected varieties. We concentrate on the groups of K3 type, that is, abelian extensions by a cyclic group of…
Equivariant rationality of Fano threefolds in the family \textnumero 2.12
Oliver Li, Joseph Malbon, Antoine Pinardin
We prove that a faithful group action on the smooth complete intersection of three divisors of bidegree in $\p^3\times\p^3$ is linearisable if and only if $\rk(\pic^G(X…
-equivariant geometry of quadric threefolds
Antoine Pinardin, Zhijia Zhang
We classify -Mori fibre spaces equivariantly birational to smooth quadric threefolds with fixed-point free actions of the alternating group . We deduce that suc…
Linearization problem for finite subgroups of the plane Cremona group
Antoine Pinardin, Arman Sarikyan, Egor Yasinsky
We give a complete solution of the linearization problem in the plane Cremona group over an algebraically closed field of characteristic zero.
K-stability and space sextic curves of genus three
Ivan Cheltsov, Oliver Li, Sione Ma'u +1
We study Fano threefolds that can be obtained by blowing up the three-dimensional projective space along a smooth curve of degree six and genus three. We produce many new K-stable…