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On the derived category of IGr(3, 9)

Published 11 May 2023 in math.AG | (2305.06867v1)

Abstract: We construct a minimal Lefschetz decomposition of the bounded derived category of the odd isotropic Grassmannian $\mathsf{IGr}(3,9)$. The exceptional objects are $\mathsf{Sp}_9$-equivariant vector bundles. This provides further evidence of the Kuznetsov-Smirnov version of Dubrovin conjecture.

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