Degenerations of Gushel-Mukai fourfolds, with a view towards irrationality proofs

DOI10.1007/s40879-018-0227-zzbMath1423.14065arXiv1704.01807OpenAlexW2609961815WikidataQ113891389 ScholiaQ113891389MaRDI QIDQ1999424

Christian Böhning, Hans-Christian Graf von Bothmer

Publication date: 27 June 2019

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01807

zbMATH Keywords

rationalityconic bundlesGushel-Mukai fourfolds

Mathematics Subject Classification ID

(4)-folds (14J35) Fibrations, degenerations in algebraic geometry (14D06) Fano varieties (14J45) Rationality questions in algebraic geometry (14E08)

Related Items (3)

Symmetric locally free resolutions and rationality problems ⋮ Degenerations of Gushel-Mukai fourfolds, with a view towards irrationality proofs ⋮ Conic bundle fourfolds with nontrivial unramified Brauer group

Uses Software

• Macaulay2
• GitHub
• FiniteFieldExperiments.M2

Cites Work

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• Hypersurfaces quartiques de dimension 3 : non-rationalité stable
• Classical Algebraic Geometry
• On the Classification of Cubic Surfaces
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• Gushel-Mukai varieties: Classification and birationalities
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• Curves on a Kummer Surface in ℙ³, I

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