English

A Characterization of Symplectic Grassmannians

Algebraic Geometry 2019-02-13 v2

Abstract

We provide a characterization of Symplectic Grassmannians in terms of their Varieties of Minimal Rational Tangents.

Cite

@article{arxiv.1604.06867,
  title  = {A Characterization of Symplectic Grassmannians},
  author = {Gianluca Occhetta and Luis E. Solá Conde and Kiwamu Watanabe},
  journal= {arXiv preprint arXiv:1604.06867},
  year   = {2019}
}

Comments

As kindly observed by Jun-Muk Hwang, the previous version of the paper (Math. Zeit., 286 (3-4), (2017) 1421-1433) contained an incorrect construction of the vector bundles $\cQ^\vee, \cF_1^\vee$ and $\cF_2^\vee$. However, the main Theorem can be proved by slightly modifying the arguments, as explained in a corrigendum, just published in the same journal. This version implements those changes

R2 v1 2026-06-22T13:39:08.940Z