Email this article Dual exceptional collections on Lagrangian Grassmannians
- Authors: Fonarev A.V.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 214, No 12 (2023)
- Pages: 135-158
- Section: Articles
- URL: https://ogarev-online.ru/0368-8666/article/view/147931
- DOI: https://doi.org/10.4213/sm9880
- ID: 147931
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Abstract
We construct graded left dual exceptional collections to the exceptional collections generating the Kuznetsov-Polishchuk blocks on Lagrangian Grassmannians. As an application, we find explicit resolutions for some natural irreducible equivariant vector bundles.
About the authors
Anton Vyacheslavovich Fonarev
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: avfonarev@mi-ras.ru
Candidate of physico-mathematical sciences, no status
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