JournalslemVol. 67, No. 1/2pp. 1–44

Rationality of complete intersections of two quadrics over nonclosed fields

  • Brendan Hassett

    Brown University, Providence, USA

  • Yuri Tschinkel

    New York University, USA

  • Jean-Louis Colliot-Thélène

    Université Paris-Saclay, Orsay, France
Rationality of complete intersections of two quadrics over nonclosed fields cover
Download PDF

A subscription is required to access this article.

Abstract

We study rationality problems for smooth complete intersections of two quadrics.We focus on the three-dimensional case, with a view toward understanding the invariants governing the rationality of a geometrically rational threefold over a nonclosed field.

Cite this article

Brendan Hassett, Yuri Tschinkel, Jean-Louis Colliot-Thélène, Rationality of complete intersections of two quadrics over nonclosed fields. Enseign. Math. 67 (2021), no. 1/2, pp. 1–44

DOI 10.4171/LEM/1001