A very general sextic double solid is not stably rational

DOI10.1112/blms/bdv098zbMath1386.14184arXiv1411.7484OpenAlexW3098772553MaRDI QIDQ2801726

Arnaud Beauville

Publication date: 21 April 2016

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7484

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Fano varieties (14J45) Rationality questions in algebraic geometry (14E08)

Related Items (15)

The Lüroth Problem ⋮ Stable rationality and conic bundles ⋮ Quadric surface bundles over surfaces and stable rationality ⋮ Non-rational sextic double solids ⋮ Stable rationality of orbifold Fano 3-fold hypersurfaces ⋮ The rationality problem for conic bundles ⋮ On stable rationality of Fano threefolds and del Pezzo fibrations ⋮ Which quartic double solids are rational? ⋮ On the rationality problem for quadric bundles ⋮ Stable rationality of quadric and cubic surface bundle fourfolds ⋮ Smooth weighted hypersurfaces that are not stably rational ⋮ Hypersurfaces that are not stably rational ⋮ Stable Rationality of Cyclic Covers of Projective Spaces ⋮ The motivic nearby fiber and degeneration of stable rationality ⋮ Stably irrational hypersurfaces of small slopes

Cites Work

• Birational automorphisms of three-dimensional algebraic varieties
• Babbage's conjecture, contact of surfaces, symmetric determinantal varieties and applications
• Unirational threefolds with no universal codimension \(2\) cycle
• Hypersurfaces quartiques de dimension 3 : non-rationalité stable
• Topology of Conic Bundles
• Variétés de Prym et jacobiennes intermédiaires
• Double Solids, Categories and Non-Rationality
• Relations entre l'arithmétique et la géométrie sur une quadrique

This page was built for publication: A very general sextic double solid is not stably rational