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

We provide a combinatorial characterization of LG(3, 6)(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.

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