2024/12/18 by Olivier Benoist, Alena Pirutka, Benoist, Olivier +1 · 2 citations
Mathematics · #Mathematics and Applications #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory
paper · pdf · doi:10.1017/s1474748026101613
Abstract We study the rationality of some geometrically rational three-dimensional conic and quadric surface bundles, defined over the reals and more general real closed fields, for which the real locus is connected and the intermediate Jacobian obstructions to rationality vanish. We obtain both negative and positive results, using unramified cohomology and birational rigidity techniques, as well as concrete rationality constructions.