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arXiv · 1804.06946

On the bounded derived category of $\mathsf{IGr}(3, 7)$

Anton Fonarev
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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.

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Anton Fonarev. 2018-04-18. On the bounded derived category of $\mathsf{IGr}(3, 7)$. https://doi.org/10.1007/s00031-020-09614-z

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