Derived Categories of Grassmannians: a Survey

Abstract

We discuss what is known about the structure of the bounded derived categories of coherent sheaves on Grassmannians of simple algebraic groups.

arXiv commentv1: 31 pages; v2: minor improvements, to appear in Russian Mathematical Surveys

References in corpus (10)

• Exceptional collections for Grassmannians of isotropic lines
• Exceptional collections on isotropic Grassmannians
• Hyperplane sections and derived categories
• On residual categories for Grassmannians
• On the derived category of Grassmannians in arbitrary characteristic
• On a conjecture of Kuznetsov and Polishchuk
• Residual categories for (co)adjoint Grassmannians in classical types
• On the bounded derived category of $\mathsf{IGr}(3,7)$
• Derived category of the spinor 15-fold
• Dual exceptional collections on Lagrangian Grassmannians