Varieties of planes on intersections of three quadrics

2019/04/12 by Brendan Hassett, Yuri Tschinkel, Hassett, Brendan +1
Engineering · Mathematics · #14E08 #14M10 #14N15 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1904.06313

openalex publication_date 2019/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the geometry of spaces of planes on smooth complete intersections of three quadrics, with a view toward rationality questions.

Related

• Rationality of complete intersections of two quadrics
• Intersections of three quadrics in ℙ⁷
• Rationality of even-dimensional intersections of two real quadrics
• A characterization of the planes meeting a hyperbolic quadric of \PG(3,q) in a conic
• Arithmetic and birational properties of linear spaces on intersections of two quadrics