English

Minimal rational curves on wonderful group compactifications

Algebraic Geometry 2015-07-14 v2

Abstract

Consider a simple algebraic group G of adjoint type, and its wonderful compactification X. We show that X admits a unique family of minimal rational curves, and we explicitly describe the subfamily consisting of curves through a general point. As an application, we show that X has the target rigidity property when G is not of type A_1 or C.

Keywords

Cite

@article{arxiv.1503.02275,
  title  = {Minimal rational curves on wonderful group compactifications},
  author = {Michel Brion and Baohua Fu},
  journal= {arXiv preprint arXiv:1503.02275},
  year   = {2015}
}

Comments

16p

R2 v1 2026-06-22T08:46:55.625Z