A COMBINATORIAL CHARACTERIZATION OF THE LAGRANGIAN GRASSMANNIAN LG(3,6)()-Reference-Cited by-同舟云学术

A COMBINATORIAL CHARACTERIZATION OF THE LAGRANGIAN GRASSMANNIAN LG(3,6)()

Published:2015-07-21 Issue:2 Volume:58 Page:293-311
ISSN:0017-0895
Container-title:Glasgow Mathematical Journal
language:en
Short-container-title:Glasgow Math. J.

Author:

SCHILLEWAERT J.,VAN MALDEGHEM H.

Abstract

AbstractWe provide a combinatorial characterization of LG(3,6)(

${\mathbb{K}}$

) using an axiom set which is the natural continuation of the Mazzocca–Melone set we used to characterize Severi varieties over arbitrary fields (Schillewaert and Van Maldeghem, Severi varieties over arbitrary fields,Preprint). This fits within a large project aiming at constructing and characterizing the varieties related to the Freudenthal–Tits magic square.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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1. Construction and characterisation of the varieties of the third row of the Freudenthal–Tits magic square;Geometriae Dedicata;2023-11-28

2. A uniform characterisation of the varieties of the second row of the Freudenthal–Tits magic square over arbitrary fields;Journal of Combinatorial Algebra;2023-10-10

3. On the varieties of the second row of the split Freudenthal–Tits Magic Square;Annales de l’institut Fourier;2017