English

The rationality problem for conic bundles

Algebraic Geometry 2018-09-26 v6

Abstract

This expository paper is concerned with the rationality problems for three-dimensional algebraic varieties with a conic bundle structure. We discuss the main methods of this theory. We sketch the proofs of certain principal results, and present some recent achievements. Many open problems are also stated.

Keywords

Cite

@article{arxiv.1712.05564,
  title  = {The rationality problem for conic bundles},
  author = {Yuri Prokhorov},
  journal= {arXiv preprint arXiv:1712.05564},
  year   = {2018}
}

Comments

87 pages, LaTeX, expository paper submitted to Uspeshi Mat. Nauk

R2 v1 2026-06-22T23:18:55.908Z