2 papers
math.AG2025
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…
math.AG2024
Secondary staircase complexes on isotropic Grassmannians
Alexander Novikov
We introduce a class of equivariant vector bundles on isotropic symplectic Grassmannians defined as appropriate truncations of staircase complexes and show tha…