Cyclic covers that are not stably rational

DOI10.1070/IM8429zbMath1375.14053OpenAlexW2326853560MaRDI QIDQ2827307

Jean-Louis Colliot-Thélène, Alena Pirutka

Publication date: 19 October 2016

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8429

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Finite ground fields in algebraic geometry (14G15) Algebraic cycles (14C25) Coverings in algebraic geometry (14E20) (Equivariant) Chow groups and rings; motives (14C15) Rationality questions in algebraic geometry (14E08)

Related Items (13)

Stable rationality of orbifold Fano 3-fold hypersurfaces ⋮ The rationality problem for conic bundles ⋮ Birational geometry of varieties fibred into complete intersections of codimension two ⋮ Effective results in the theory of birational rigidity ⋮ Torsion orders of complete intersections ⋮ On stable rationality of Fano threefolds and del Pezzo fibrations ⋮ On the rationality problem for quadric bundles ⋮ Stable rationality of quadric and cubic surface bundle fourfolds ⋮ Smooth weighted hypersurfaces that are not stably rational ⋮ Birational geometry of singular Fano hypersurfaces of index two ⋮ Stable Rationality of Cyclic Covers of Projective Spaces ⋮ Stably irrational hypersurfaces of small slopes ⋮ Stable rationality of index one Fano hypersurfaces containing a linear space

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