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math.AG2026
Semiorthogonal decompositions for families of twisted flag varieties
Alexey Ananyevskiy, Alexander Samokhin
We show that the derived categories of smooth families of twisted generalized flag varieties admit semiorthogonal decompositions into derived categories of twisted sheaves over the…
math.AG2024
Highest weight category structures on and full exceptional collections on generalized flag varieties over
Alexander Samokhin, Wilberd van der Kallen
Given a split simply connected and connected algebraic group scheme over and a split parabolic subgroup scheme , this paper cons…
math.AG2006★ 1 cited
Some remarks on the derived categories of coherent sheaves on homogeneous spaces
Alexander Samokhin
In this paper we prove first a general theorem on semiorthogonal decompositions in derived categories of coherent sheaves for flat families over a smooth base. Based on the results…