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
Rationality of complete intersections of two quadrics over nonclosed fields cover
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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, 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