Rationality of even-dimensional intersections of two real quadrics

2021/01/22 by Brendan Hassett, János Kollár, Hassett, Brendan +4 · 2 citations
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #Tensor decomposition and applications #math.AG

paper · pdf · doi:10.48550/arxiv.2101.08931

24 pages

arxiv created 2021/01/22 · openalex publication_date 2021/01/22 · arxiv updated 2021/01/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Degree two unirational parametrizations over the real field
• Variétés réelles connexes non stablement rationnelles

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