JournalscmhVol. 97, No. 1pp. 183–207

Rationality of even-dimensional intersections of two real quadrics

  • Brendan Hassett

    Brown University, Providence, USA

  • János Kollár

    Princeton University, USA

  • Yuri Tschinkel

    New York University, USA
Rationality of even-dimensional intersections of two real quadrics cover
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Abstract

We study rationality constructions for smooth complete intersections of two quadrics over nonclosed fields. Over the real numbers, we establish a criterion for rationality in dimension four.

Cite this article

Brendan Hassett, János Kollár, Yuri Tschinkel, Rationality of even-dimensional intersections of two real quadrics. Comment. Math. Helv. 97 (2022), no. 1, pp. 183–207

DOI 10.4171/CMH/529