2 papers
math.AG2026
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…
math.AG2024
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 $\…