@article{fc3c10f17502473ca497bdce6be9c1b1,
title = "Rationality of even-dimensional intersections of two real quadrics",
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.",
keywords = "Rationality questions isotopy classification",
author = "Brendan Hassett and J{\'a}nos Koll{\'a}r and Yuri Tschinkel",
note = "Funding Information: Acknowledgements. The first author was partially supported by NSF grant 1701659 and Simons Foundation Award 546235, the second author by the NSF grant DMS-1901855, and the third author by NSF grant 2000099. We are grateful to Sarah Griffith for a comment on the combinatorics of the isotopy types. Publisher Copyright: {\textcopyright} 2022 Swiss Mathematical Society",
year = "2022",
doi = "10.4171/CMH/529",
language = "English (US)",
volume = "97",
pages = "183--207",
journal = "Commentarii Mathematici Helvetici",
issn = "0010-2571",
publisher = "European Mathematical Society Publishing House",
number = "1",
}