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On the bounded derived category of $\mathsf{IGr}(3, 7)$ (1804.06946v2)
Published 18 Apr 2018 in math.AG
Abstract: We construct a mininal Lefschetz decomposition of the bounded derived category of coherent sheaves on the isotropic Grassmannian $\mathsf{IGr}(3,7)$. Moreover, we show that $\mathsf{IGr}(3, 7)$ admits a full exceptional collection consisting of equivariant vector bundles.