Double covers of quadratic degeneracy and Lagrangian intersection loci

DOI10.1007/s00208-019-01893-6zbMath1468.14027arXiv1803.00799OpenAlexW2979954283WikidataQ127104144 ScholiaQ127104144MaRDI QIDQ2205577

Olivier Debarre, Alexander G. Kuznetsov

Publication date: 20 October 2020

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00799

zbMATH Keywords

reflexive sheaveshypersurfacesdouble covershyperkähler varietiesEPW varietiesLagrangian intersection lociquadratic degeneracy loci

Mathematics Subject Classification ID

(4)-folds (14J35) Special varieties (14M99) Divisors, linear systems, invertible sheaves (14C20) Coverings in algebraic geometry (14E20) Hypersurfaces and algebraic geometry (14J70) (n)-folds ((n>4)) (14J40)

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Gushel-Mukai varieties with many symmetries and an explicit irrational Gushel-Mukai threefold ⋮ Gushel-Mukai varieties: linear spaces and periods ⋮ Symmetric locally free resolutions and rationality problems ⋮ Some motivic properties of Gushel–Mukai sixfolds ⋮ Gushel–Mukai varieties: Moduli ⋮ Chow groups of Gushel-Mukai fivefolds ⋮ Algebraic cycles and Gushel-Mukai fivefolds ⋮ Zero-cycles on self-products of surfaces: some new examples verifying Voisin's conjecture

Cites Work

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• Irreducible symplectic 4-folds and Eisenbud-Popescu-Walter sextics
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• IRREDUCIBLE SYMPLECTIC 4-FOLDS NUMERICALLY EQUIVALENT TO (K3)^[2]
• Gushel-Mukai varieties: Classification and birationalities
• Introduction
• Gushel–Mukai varieties: Moduli
• Moduli of double EPW-sextics

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