The Clemens–Griffiths method over non-closed fields

DOI10.14231/AG-2020-025zbMath1460.14035arXiv1903.08015OpenAlexW2920931355MaRDI QIDQ5144410

Olivier Benoist, Olivier Wittenberg

Publication date: 16 January 2021

Published in: Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.08015

zbMATH Keywords

unramified cohomologyreal algebraic geometryintermediate JacobiansLüroth problemnon-closed fields

Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) Other nonalgebraically closed ground fields in algebraic geometry (14G27) Real algebraic and real-analytic geometry (14P99) Rationality questions in algebraic geometry (14E08)

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Rationality of even-dimensional intersections of two real quadrics ⋮ UNIRATIONALITY AND GEOMETRIC UNIRATIONALITY FOR HYPERSURFACES IN POSITIVE CHARACTERISTICS ⋮ Rationality of Fano threefolds over non-closed fields ⋮ Rationality problem for norm one tori for dihedral extensions ⋮ RATIONALITY OVER NONCLOSED FIELDS OF FANO THREEFOLDS WITH HIGHER GEOMETRIC PICARD RANK ⋮ Motivic invariants of birational maps ⋮ Cylinders in Fano varieties ⋮ On the universal regular homomorphism in codimension \(2\) ⋮ Rationality of complete intersections of two quadrics over nonclosed fields

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