English

Calabi--Yau complete intersections in exceptional Grassmannians

Algebraic Geometry 2024-02-22 v5

Abstract

We classify completely reducible equivariant vector bundles on Grassmannians of exceptional Lie groups which give Calabi--Yau 3-folds as complete intersections. In particular, we find a new family of Calabi--Yau 3-folds in an E6E_6-Grassmannian.

Keywords

Cite

@article{arxiv.1606.04076,
  title  = {Calabi--Yau complete intersections in exceptional Grassmannians},
  author = {Atsushi Ito and Makoto Miura and Shinnosuke Okawa and Kazushi Ueda},
  journal= {arXiv preprint arXiv:1606.04076},
  year   = {2024}
}

Comments

10 pages, minor revision

R2 v1 2026-06-22T14:24:17.249Z