4 papers
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 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…
Computing the equivariant Brauer group
Alena Pirutka, Zhijia Zhang
Let X be a smooth projective rational variety carrying a regular action of a finite abelian group G. We give examples of effective computation of the Brauer group of the quotient s…
Birational invariants of volume preserving maps
Konstantin Loginov, Zhijia Zhang
We study the group of birational automorphisms of the -dimensional projective space that preserve the standard torus invariant volume form with logarithmic poles. We prove that…