5 citations · 6 across the 7 of their papers we have counts for
8 papers
Projective subvarieties of Bogomolov-Guan manifolds and quasi-diagonals in products of elliptic curves
Leila Abubakarova, Alexandra Kuznetsova, Misha Verbitsky
We study complex subvarieties in certain non-Kahler holomorphically symplectic manifolds , called the Bogomolov-Guan manifolds. Let be an elliptic curve, an ample line b…
Double covers of smooth quadric threefolds with Artin-Mumford obstructions to rationality
Alexandra Kuznetsova
We study obstructions to rationality on a nodal Fano threefold that is a double cover of a smooth quadric threefold ramified over an intersection with a quartic threefold in $\…
Regularizations of positive entropy pseudo-automorphisms
Alexandra Kuznetsova
We study positive entropy birational automorphisms of threefolds. We identify some conditions which imply that such an automorphism is non-regularizable. We show that this criterio…
Automorphisms of quasi-projective surfaces over fields of finite characteristic
Alexandra Kuznetsova
We prove that the group of automorphisms of any quasi-projective surface in finite characteristic has the -Jordan property.
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…
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…
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…
Endomorphisms of projective bundles over a certain class of varieties
Ekaterina Amerik, Alexandra Kuznetsova
Let be a simply-connected projective variety such that the first cohomology groups of all line bundles on are zero. Let be a vector bundle over and $X={\mathbb P} (…