English

On RC varieties without smooth rational curves

Algebraic Geometry 2018-05-09 v1 Differential Geometry

Abstract

We construct normal rationally connected varieties (of arbitrarily large dimension) not containing any smooth rational curves.

Keywords

Cite

@article{arxiv.1704.06057,
  title  = {On RC varieties without smooth rational curves},
  author = {Ilya Karzhemanov},
  journal= {arXiv preprint arXiv:1704.06057},
  year   = {2018}
}

Comments

10 pages; one of the IPMU preprints I have forgotten to post on the arXiv

R2 v1 2026-06-22T19:22:21.483Z