On a conjecture of Kuznetsov and Polishchuk

Abstract

We prove a conjecture by A. Kuznetsov and A. Polishchuk on the existence of some particular full exceptional collections in bounded derived categories of coherent sheaves on Grassmannian varieties.

15 pages, 4 TikZ figures

References in corpus (2)

• Exceptional collections on isotropic Grassmannians
• On minimal Lefschetz decompositions for Grassmannians

Cited by in corpus (4)

• Full exceptional collections on Lagrangian Grassmannians
• On the motive of O'Grady's ten-dimensional hyper-Kähler varieties
• On the bounded derived category of $\mathsf{IGr}(3,7)$
• Derived Categories of Grassmannians: a Survey