Dual exceptional collections on Lagrangian Grassmannians

2023/01/07 by Anton Fonarev, Fonarev, Anton
Mathematics · Physics and Astronomy · #14F08 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2301.02941

openalex publication_date 2023/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct graded left dual exceptional collections to the exceptional collections generating the blocks of Kuznetsov and Polishchuk on Lagrangian Grassmannians. As an application, we find explicit resolutions for some natural irreducible equivariant vector bundles.

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