On the derived category of $\mathrm{IGr}(3,8)$

Abstract

We construct a full exceptional collection of vector bundles in the bounded derived category of coherent sheaves on the Grassmannian $\mathrm{IGr}(3,8)$ of isotropic 3-dimensional subspaces in an 8-dimensional symplectic vector space.

arXiv comment29 pages. arXiv admin note: text overlap with arXiv:math/0512013 by other authors

References in corpus (2)

• Exceptional collections for Grassmannians of isotropic lines
• Exceptional collections on isotropic Grassmannians

Cited by in corpus (2)

• On the derived category of the adjoint Grassmannian of type F
• Derived categories of the Cayley plane and the coadjoint Grassmannian of type F