Lagrangian fibrations on generalized Kummer varieties

DOI10.24033/bsmf.2535zbMath1154.14009arXivmath/0510145OpenAlexW1594740621MaRDI QIDQ3535777

Martin G. Gulbrandsen

Publication date: 14 November 2008

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510145

zbMATH Keywords

generalized Kummer varietiesLagrangian fibrationssymplectic varieties

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Algebraic moduli problems, moduli of vector bundles (14D20) (n)-folds ((n>4)) (14J40)

Related Items (7)

Fourier-Mukai transform on abelian surfaces ⋮ Lagrangian fibrations on Hilbert schemes of points on K3 surfaces ⋮ Stable vector bundles on generalized Kummer varieties ⋮ Groups of symplectic involutions on symplectic varieties of Kummer type and their fixed loci ⋮ On nef reductions of projective irreducible symplectic manifolds ⋮ Rational Lagrangian fibrations on punctual Hilbert schemes of \(K3\) surfaces ⋮ Fibrations on four-folds with trivial canonical bundles

Cites Work

• Variétés kähleriennes dont la première classe de Chern est nulle
• Description de Hilb sup(n) C{X,Y}
• On fibre space structures of a projective irreducible symplectic manifold
• Holomorphic symplectic manifolds and Lagrangian fibrations
• Rational Lagrangian fibrations on punctual Hilbert schemes of \(K3\) surfaces
• Duality between D(X) and with its application to picard sheaves
• Higher direct images of dualizing sheaves of Lagrangian fibrations
• Lagrangian fibrations on Hilbert schemes of points on K3 surfaces
• Moduli spaces of stable sheaves on abelian surfaces.
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