Dual exceptional collections on Lagrangian Grassmannians
Algebraic Geometry
2025-06-13 v2
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.
Keywords
Cite
@article{arxiv.2301.02941,
title = {Dual exceptional collections on Lagrangian Grassmannians},
author = {Anton Fonarev},
journal= {arXiv preprint arXiv:2301.02941},
year = {2025}
}
Comments
v2: minor improvements, to appear in Sbornik: Mathematics