Fano Varieties of K3-Type and IHS Manifolds

DOI10.1093/imrn/rnaa368zbMath1487.14088arXiv1904.05679OpenAlexW3122898197MaRDI QIDQ5006221

Enrico Fatighenti, Giovanni Mongardi

Publication date: 13 August 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.05679

zbMATH Keywords

Fano varieties\(K3\) surfacesirreducible holomorphic symplectic manifoldshomogeneous vector bundles

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Fano varieties (14J45) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

Related Items (12)

Gromov–Witten theory and Noether–Lefschetz theory for holomorphic-symplectic varieties ⋮ The integral Hodge conjecture for two-dimensional Calabi–Yau categories ⋮ Nested varieties of \(K3\) type ⋮ A note on a Griffiths-type ring for complete intersections in Grassmannians ⋮ Fano 3-folds from homogeneous vector bundles over Grassmannians ⋮ Some new Fano varieties with a multiplicative Chow-Künneth decomposition ⋮ Some motivic properties of Gushel–Mukai sixfolds ⋮ On the Chow ring of certain Fano fourfolds ⋮ Hilbert squares of degeneracy loci ⋮ The generalized roof \(F(1, 2,n)\): Hodge structures and derived categories ⋮ On the Chow ring of Fano varieties on the Fatighenti–Mongardi list ⋮ The geometry of antisymplectic involutions. I.

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