On the bounded derived category of $\mathsf{IGr}(3,7)$

Abstract

We construct a mininal Lefschetz decomposition of the bounded derived category of coherent sheaves on the isotropic Grassmannian $\mathsf{IGr}(3,7)$. Moreover, we show that $\mathsf{IGr}(3,7)$ admits a full exceptional collection consisting of equivariant vector bundles.

v2: 18 pages, improved exposition, fixed Lemma 2.11

References in corpus (3)

• Geometry of horospherical varieties of Picard rank one
• Küchle fivefolds of type c5
• Integral Chow motives of threefolds with $K$-motives of unit type

Cited by in corpus (2)

• Geometry of horospherical varieties of Picard rank one
• Derived Categories of Grassmannians: a Survey