3 papers
math.AG2020
Geometry and automorphisms of non-Kähler holomorphic symplectic manifolds
Fedor Bogomolov, Nikon Kurnosov, Alexandra Kuznetsova +1
We consider the only one known class of non-Kähler irreducible holomorphic symplectic manifolds, described in the works of D. Guan and the first author. Any such manifold of di…
math.AG2020
Finite 3-subgroups in Cremona group of rank 3
Alexandra Kuznetsova
We consider 3-subgroups in groups of birational automorphisms of rationally connected threefolds and show that any 3-subgroup can be generated by at most five elements. Moreover, w…
math.AG2019
Sextic double solids with Artin-Mumford obstructions to rationality
Alexandra Kuznetsova
We study a double solid X branched along a nodal sextic surface in a projective space and the 2-torsion subgroup in the third integer cohomology group of a resolution of singularit…