Manifolds of low dimension with trivial canonical bundle in Grassmannians

DOI10.1007/s00209-017-2017-6zbMath1430.14081arXiv1609.02695OpenAlexW2518982331MaRDI QIDQ667611

Vladimiro Benedetti

Publication date: 1 March 2019

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

Full work available at URL: https://arxiv.org/abs/1609.02695

zbMATH Keywords

GrassmannianCalabi-Yauhyper-Kählerhomogeneous bundleorthogonal Grassmanniansymplectic Grassmannian

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Grassmannians, Schubert varieties, flag manifolds (14M15) (4)-folds (14J35) Kähler manifolds (32Q15) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items (6)

Complete intersection Calabi-Yau manifolds with respect to homogeneous vector bundles on Grassmannians ⋮ Nested varieties of \(K3\) type ⋮ Horospherical two-orbit varieties as zero loci ⋮ Topics on the geometry of rational homogeneous spaces ⋮ Determinantal Calabi-Yau varieties in Grassmannians and the Givental \(I\)-functions ⋮ Orbital degeneracy loci and applications

Uses Software

• Macaulay2
• LiE

Cites Work

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• Homogeneous vector bundles
• Variétés kähleriennes dont la première classe de Chern est nulle
• Quantum Pieri rules for isotropic Grassmannians
• Schubert varieties and degeneracy loci
• On Fano 4-folds of index 1 and homogeneous vector bundles over Grassmannians
• Invariants symétriques entiers des groupes de Weyl et torsion
• Complete intersection Calabi-Yau manifolds with respect to homogeneous vector bundles on Grassmannians
• Hyper-Kähler fourfolds and Grassmann geometry
• Lectures on the Geometry of Flag Varieties

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