Full exceptional collections on the Lagrangian Grassmannians LG(4,8) and LG(5,10)
Alexander Polishchuk, Alexander Samokhin
TL;DR
This paper constructs complete collections of vector bundles that generate the derived category on specific Lagrangian Grassmannians, advancing the understanding of their geometric and categorical structure.
Contribution
It provides explicit full exceptional collections on LG(4,8) and LG(5,10), which were previously unknown.
Findings
Full exceptional collections constructed for LG(4,8) and LG(5,10)
Advances categorical understanding of these Grassmannians
Potential applications in derived category theory
Abstract
We construct full exceptional collections of vector bundles on the Lagrangian Grassmannians LG(4,8) and LG(5,10).
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Advanced Topics in Algebra