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arXiv · 2305.06867

On the derived category of IGr(3, 9)

Warren Cattani
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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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Warren Cattani. 2023-05-11. On the derived category of IGr(3, 9). https://arxiv.org/abs/2305.06867

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