2 citations · 4 across the 4 of their papers we have counts for
4 papers
Full exceptional collections on the isotropic Grassmannians
Lyalya Guseva, Alexander Novikov
We prove that the Kuznetsov--Polishchuk exceptional collections on rational homogeneous spaces of the symplectic groups are full and consist of vector…
On the Derived Category of the Cayley Grassmannian
Lyalya Guseva
We construct a full exceptional collection consisting of vector bundles in the derived category of coherent sheaves on the so-called Cayley Grassmannian, the subvariety of the Gras…
On the derived category of
Lyalya Guseva
We construct a full exceptional collection of vector bundles in the bounded derived category of coherent sheaves on the Grassmannian of isotropic 3-dimensional…
On the characteristic foliation on a smooth hypersurface in a holomorphic symplectic fourfold
Ekaterina Amerik, Lyalya Guseva
Let be an irreducible holomorphic symplectic fourfold and a smooth hypersurface in . It follows from a result by Amerik and Campana that the characteristic foliation (th…