Varieties that are not stably rational, zero-cycles and unramified cohomology
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Publication:5133783
DOI10.1090/pspum/097.2/01713zbMath1451.14041arXiv1603.09261OpenAlexW2962977110MaRDI QIDQ5133783
Publication date: 10 November 2020
Published in: Algebraic Geometry: Salt Lake City 2015 (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.09261
Fibrations, degenerations in algebraic geometry (14D06) Algebraic cycles (14C25) Brauer groups of schemes (14F22) Rationality questions in algebraic geometry (14E08)
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Rationality and specialization ⋮ Which quartic double solids are rational? ⋮ Non rationalité stable sur les corps quelconques ⋮ Introduction to work of Hassett-Pirutka-Tschinkel and Schreieder ⋮ On the rationality problem for quadric bundles ⋮ Stable rationality of quadric and cubic surface bundle fourfolds ⋮ Stable rationality of Brauer-Severi surface bundles ⋮ Birational geometry of singular Fano hypersurfaces of index two ⋮ Conic bundle fourfolds with nontrivial unramified Brauer group ⋮ Stably rational surfaces over a quasi-finite field ⋮ Stable Rationality of Cyclic Covers of Projective Spaces ⋮ Rationality of complete intersections of two quadrics over nonclosed fields ⋮ Unramified Brauer groups of conic bundle threefolds in characteristic two
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