Varieties of planes on intersections of three quadrics
Brendan Hassett, Yuri Tschinkel
TL;DR
This paper investigates the geometric properties of spaces of planes on smooth intersections of three quadrics, aiming to understand their rationality and related geometric questions.
Contribution
It provides new insights into the structure and properties of these plane spaces, contributing to the understanding of rationality of such intersections.
Findings
Characterization of plane spaces on three quadrics intersections
Results related to rationality of these geometric objects
New classifications or properties of these intersections
Abstract
We study the geometry of spaces of planes on smooth complete intersections of three quadrics, with a view toward rationality questions.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Finite Group Theory Research · Advanced Numerical Analysis Techniques