Gushel-Mukai varieties with many symmetries and an explicit irrational Gushel-Mukai threefold
DOI10.1007/s40574-021-00293-6zbMath1502.14037arXiv2101.01959OpenAlexW3171931594MaRDI QIDQ2162461
Olivier Debarre, Giovanni Mongardi
Publication date: 8 August 2022
Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.01959
Fano varietiesautomorphismsrationalityintermediate Jacobianshyperkähler varietiesEPW sexticsabelian varieties with complex multiplicationGushel-Mukai varieties
(4)-folds (14J35) Picard schemes, higher Jacobians (14K30) Elliptic curves (14H52) (3)-folds (14J30) Fano varieties (14J45) Complex multiplication and abelian varieties (14K22) Algebraic cycles (14C25) Hypersurfaces and algebraic geometry (14J70) Automorphisms of surfaces and higher-dimensional varieties (14J50) (n)-folds ((n>4)) (14J40) Rationality questions in algebraic geometry (14E08) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)
Uses Software
Cites Work
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- Classification of automorphisms on a deformation family of hyper-Kähler four-folds by \(p\)-elementary lattices
- On natural deformations of symplectic automorphisms of manifolds of \(K3^{[n}\) type]
- On symplectic automorphisms of hyper-Kähler fourfolds of \(K3^{[2}\) type]
- Mapping class group and a global Torelli theorem for hyperkähler manifolds
- The computations of some Schur indices
- The Fano surface of the Klein cubic threefold
- The 290 fixed-point sublattices of the Leech lattice
- Idempotent relations and factors of Jacobians
- Some integral representations of \(\text{PSL}_2(\mathbb F_p)\) and their applications
- Classification of Hermitian forms with the neighbour method
- Remarks on abelian varieties with an automorphism of prime order
- Geometries of the group \(\text{PSL}(2, 11)\)
- On the 0-dimensional irreducible components of the singular locus of \(\mathcal A_g\)
- Double covers of EPW-sextics
- Gushel-Mukai varieties: linear spaces and periods
- Double covers of quadratic degeneracy and Lagrangian intersection loci
- Coble fourfold, \(\mathfrak{S}_6\)-invariant quartic threefolds, and Wiman-Edge sextics
- Symplectic involutions on deformations of \(K3^{[2}\)]
- Irreducible symplectic 4-folds and Eisenbud-Popescu-Walter sextics
- Compactification of arithmetic quotients of bounded symmetric domains
- The intermediate Jacobian of the cubic threefold
- Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem
- Moving and ample cones of holomorphic symplectic fourfolds
- Symplectic involutions of holomorphic symplectic four-folds
- Special prime Fano fourfolds of degree 10 and index 2
- A survey of Torelli and monodromy results for holomorphic-symplectic varieties
- Non-rationality of the S_6-symmetric quartic threefolds
- INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
- Variétés de Prym et jacobiennes intermédiaires
- On the Automorphism Group of a Certain Cubic Threefold
- Gushel-Mukai varieties: Classification and birationalities
- The integral Hodge conjecture for two-dimensional Calabi–Yau categories
- Gushel–Mukai varieties: Moduli
- Fano manifolds of degree ten and EPW sextics
- On the Period Map for Polarized Hyperkähler Fourfolds
- Non-rationality of the symmetric sextic Fano threefold
- Smith theory and irreducible holomorphic symplectic manifolds
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