Hodge Theory of Cubic Fourfolds, Their Fano Varieties, and Associated K3 Categories

DOI10.1007/978-3-030-18638-8_5zbMath1442.14130arXiv1811.02876OpenAlexW2900074378MaRDI QIDQ3297271

Daniel Huybrechts

Publication date: 3 July 2020

Published in: Lecture Notes of the Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02876

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) (4)-folds (14J35) Fano varieties (14J45) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (11)

Cubic fourfolds, Kuznetsov components, and Chow motives ⋮ On the period of Lehn, Lehn, Sorger, and van Straten's symplectic eightfold ⋮ Categorical Torelli theorems: results and open problems ⋮ Kodaira dimension of moduli of special \(K3^{[2}\)-fourfolds of degree 2] ⋮ Stability conditions in families ⋮ The generalized Franchetta conjecture for some hyper-Kähler varieties. II ⋮ Rational cubic fourfolds in Hassett divisors ⋮ Hilbert schemes of two points on K3 surfaces and certain rational cubic fourfolds ⋮ On lattice polarizable cubic fourfolds ⋮ Hyper-Kähler manifolds ⋮ Birational geometry of irreducible holomorphic symplectic tenfolds of O'Grady type

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