English

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

Algebraic Geometry 2025-06-13 v2

Abstract

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

Keywords

Cite

@article{arxiv.1804.06946,
  title  = {On the bounded derived category of $\mathsf{IGr}(3, 7)$},
  author = {Anton Fonarev},
  journal= {arXiv preprint arXiv:1804.06946},
  year   = {2025}
}

Comments

v2: 18 pages, improved exposition, fixed Lemma 2.11