Full exceptional collections on Lagrangian Grassmannians
Anton Fonarev
TL;DR
This paper proves the completeness of certain exceptional collections in the derived categories of Lagrangian Grassmannians, confirming their maximal length and providing new insights into their structure.
Contribution
It establishes the fullness of the maximal-length exceptional collections constructed by Kuznetsov and Polishchuk on Lagrangian Grassmannians.
Findings
Confirmed the fullness of the exceptional collections
Validated the maximal length of these collections
Enhanced understanding of derived categories of Lagrangian Grassmannians
Abstract
We show fullness of the exceptional collections of maximal length constructed by A. Kuznetsov and A. Polishchuk in the bounded derived categories of coherent sheaves on Lagrangian Grassmannians.
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