Hyperkähler manifolds from the Tits -- Freudenthal magic square

DOI10.1007/s40879-018-00313-4zbMath1453.14093arXiv1612.08173OpenAlexW2587404957MaRDI QIDQ2010399

Laurent Manivel, Atanas Iliev

Publication date: 27 November 2019

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08173

zbMATH Keywords

Fano varietieshyperkähler varietiesLegendrian varietiesTits-Freudenthal square

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) (K3) surfaces and Enriques surfaces (14J28) Fano varieties (14J45)

Related Items

Gromov–Witten theory and Noether–Lefschetz theory for holomorphic-symplectic varieties, The integral Hodge conjecture for two-dimensional Calabi–Yau categories, Hilbert squares of degeneracy loci, Multiplicative Chow-Künneth decompositions and varieties of cohomological \(K3\) type, On the Chow ring of Fano varieties on the Fatighenti–Mongardi list

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the exceptional series, and its descendants
• Triality, exceptional Lie algebras and Deligne dimension formulas.
• Special subvarieties of EPW sextics
• The Cayley-Oguiso automorphism of positive entropy on a \(K3\) surface
• Fano manifolds of Calabi-Yau Hodge type
• The sextonions and \(E_{7\frac12}\)
• Discriminants, resultants, and multidimensional determinants
• Legendrian varieties
• Legendrian subvarieties of projective space
• Hyper-Kähler fourfolds and Grassmann geometry
• On the quantum cohomology of adjoint varieties
• The projective geometry of Freudenthal's magic square.