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 $X$, called the Bogomolov-Guan manifolds. Let $E$ be an elliptic curve, $L$ an ample line b…