English

Strong Rational Connectedness of Surfaces

Algebraic Geometry 2010-11-30 v4

Abstract

We discuss the strong rational connectedness of smooth rationally connected surfaces. We prove in lots of cases, including the smooth locus of a log del Pezzo surface, the rational connectedness indeed implies the strong rational conectedness. This confirms a conjecture due to Hassett and Tschinkel in \cite{ht08}.

Cite

@article{arxiv.0810.2597,
  title  = {Strong Rational Connectedness of Surfaces},
  author = {Chenyang Xu},
  journal= {arXiv preprint arXiv:0810.2597},
  year   = {2010}
}

Comments

Typos corrected

R2 v1 2026-06-21T11:30:51.219Z