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math.AG2009★ 2 cited
Full exceptional collections on the Lagrangian Grassmannians LG(4,8) and LG(5,10)
Alexander Polishchuk, Alexander Samokhin
We construct full exceptional collections of vector bundles on the Lagrangian Grassmannians LG(4,8) and LG(5,10).
math.AG2006
On the D-affinity of quadrics in positive characteristic
Alexander Samokhin
In this paper we prove a cohomology vanishing result for quadrics of low dimension in positive characteristic. This vanishing is a necessary condition for the D-affinity of these v…