Rationality of even-dimensional intersections of two real quadrics

Brendan Hassett; János Kollár; Yuri Tschinkel

doi:10.4171/CMH/529

Rationality of even-dimensional intersections of two real quadrics

Brendan Hassett
, János Kollár
, Yuri Tschinkel

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English (US)
Pages (from-to)	183-207
Number of pages	25
Journal	Commentarii Mathematici Helvetici
Volume	97
Issue number	1
DOIs	https://doi.org/10.4171/CMH/529
State	Published - 2022

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Rationality questions isotopy classification

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10.4171/CMH/529

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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",

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T1 - Rationality of even-dimensional intersections of two real quadrics

AU - Hassett, Brendan

AU - Kollár, János

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N2 - 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.

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AN - SCOPUS:85130368216

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JO - Commentarii Mathematici Helvetici

JF - Commentarii Mathematici Helvetici

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Rationality of even-dimensional intersections of two real quadrics

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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