English

Minimal rational curves on generalized Bott-Samelson varieties

Algebraic Geometry 2020-09-30 v2

Abstract

We investigate families of minimal rational curves on Schubert varieties, their Bott-Samelson desingularizations, and their generalizations constructed by Nicolas Perrin in the minuscule case. In particular, we describe the minimal families on small resolutions of minuscule Schubert varieties.

Cite

@article{arxiv.1910.06197,
  title  = {Minimal rational curves on generalized Bott-Samelson varieties},
  author = {Michel Brion and S. Senthamarai Kannan},
  journal= {arXiv preprint arXiv:1910.06197},
  year   = {2020}
}

Comments

Minor corrections and additions. Accepted for publication at Compositio Mathematica

R2 v1 2026-06-23T11:43:06.562Z