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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.AG2018
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…