English

Degenerations of rationally connected varieties and PAC fields

Algebraic Geometry 2007-05-23 v1

Abstract

A perfect PAC field containing an algebraically closed field is known to be C1C_1, i.e., every degeneration of a Fano complete intersection has a point. We prove that also every degeneration of a separably rationally connected variety has a point.

Cite

@article{arxiv.math/0602649,
  title  = {Degenerations of rationally connected varieties and PAC fields},
  author = {Jason Michael Starr},
  journal= {arXiv preprint arXiv:math/0602649},
  year   = {2007}
}

Comments

5 pages

R2 v1 2026-07-22T17:32:10.507Z