On the varieties of the second row of the split Freudenthal–Tits Magic Square

DOI10.5802/aif.3136zbMath1410.51010arXiv1308.0745OpenAlexW2963932365MaRDI QIDQ4557606

Van Maldeghem, Hendrik, Jeroen Schillewaert

Publication date: 26 November 2018

Published in: Annales de l’institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.0745

zbMATH Keywords

Segre varietyVeronese varietyGrassmann varietyFreudenthal-Tits magic squareSeveri varietyFreudenthal magic squareTits-buildingsplit composition algebra

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Determinantal varieties (14M12) Grassmannians, Schubert varieties, flag manifolds (14M15) Buildings and the geometry of diagrams (51E24) Incidence structures embeddable into projective geometries (51A45) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35) Associated geometries of Jordan algebras (17C37)

Related Items (7)

On Severi varieties as intersections of a minimum number of quadrics ⋮ A geometric connection between the split first and second rows of the Freudenthal-Tits magic square ⋮ A uniform characterisation of the varieties of the second row of the Freudenthal-Tits magic square over arbitrary fields ⋮ Geometric characterisation of subvarieties of \(\mathcal{E}_6(\mathbb{K})\) related to the ternions and sextonions ⋮ Construction and characterisation of the varieties of the third row of the Freudenthal-Tits magic square ⋮ On exceptional Lie geometries ⋮ Veronese representation of projective Hjelmslev planes over some quadratic alternative algebras

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