English

Degenerations of Rationally Connected Varieties

Algebraic Geometry 2008-10-15 v4

Abstract

We prove that a degeneration rationally connected varieties over a field of characteristic zero always contains a geometrically irreducible subvariety which is rationally connected.

Keywords

Cite

@article{arxiv.math/0606666,
  title  = {Degenerations of Rationally Connected Varieties},
  author = {Amit Hogadi and Chenyang Xu},
  journal= {arXiv preprint arXiv:math/0606666},
  year   = {2008}
}

Comments

Final version. 22 pages. To appear in Tran. AMS