Rationality of complete intersections of two quadrics
Brendan Hassett, Yuri Tschinkel
TL;DR
This paper investigates the rationality of smooth three-dimensional complete intersections of two quadrics over non-closed fields, aiming to understand the invariants that determine their rationality.
Contribution
It provides new insights into the invariants influencing the rationality of threefolds formed by intersecting two quadrics, especially over non-closed fields.
Findings
Identification of key invariants affecting rationality
Conditions under which these threefolds are rational or irrational
Extension of rationality criteria to non-closed fields
Abstract
We study rationality problems for smooth complete intersections of two quadrics. We focus on the three-dimensional case, with a view toward understanding the invariants governing the rationality of a geometrically rational threefold over a non-closed field.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Advanced Numerical Analysis Techniques