English

A conjecture of Ax and degenerations of Fano varieties

Algebraic Geometry 2007-05-23 v1 Number Theory

Abstract

James Ax conjectured that every pseudo algebraically closed field is C1C_1. We prove this conjecture in characteristic 0 by relating it to degenerations of Fano varieties.

Keywords

Cite

@article{arxiv.math/0512375,
  title  = {A conjecture of Ax and degenerations of Fano varieties},
  author = {János Kollár},
  journal= {arXiv preprint arXiv:math/0512375},
  year   = {2007}
}