Prime Fano threefolds and integrable systems

DOI10.1007/s00208-007-0145-8zbMath1136.14026arXivmath/0606211OpenAlexW2047162251MaRDI QIDQ2458862

Laurent Manivel, Atanas Iliev

Publication date: 5 November 2007

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

Full work available at URL: https://arxiv.org/abs/math/0606211

zbMATH Keywords

integrable systems\(K3\) surfacesFano threefoldsLagrangian subvarietiescomplex symplectic varieties

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Picard schemes, higher Jacobians (14K30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Fano varieties (14J45)

Related Items (8)

On integral points of some Fano threefolds and their Hilbert schemes of lines and conics ⋮ An integrable system of \(K3\)-Fano flags ⋮ Hilbert schemes of lines and conics and automorphism groups of Fano threefolds ⋮ Varieties with too many rational points ⋮ Moduli spaces of rank-2 ACM bundles on prime Fano threefolds ⋮ The generalized Franchetta conjecture for some hyper-Kähler varieties ⋮ Zero-cycles on self-products of surfaces: some new examples verifying Voisin's conjecture ⋮ Rational curves on prime Fano threefolds of index 1

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