On the derived category of IGr(3, 9)

2023/05/11 by Cattani, Warren · 1 citation
#14L40 (Primary) 14J45 (Secundary) #14M17 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.06867

Abstract

We construct a minimal Lefschetz decomposition of the bounded derived category of the odd isotropic Grassmannian IGr(3,9). The exceptional objects are Sp₉-equivariant vector bundles. This provides further evidence of the Kuznetsov-Smirnov version of Dubrovin conjecture.

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• Full exceptional collections on the isotropic Grassmannians

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