Geodesic
A COMBINATORIAL CHARACTERIZATION OF THE LAGRANGIAN GRASSMANNIAN LG(3,6)(${\mathbb{K}}$)
Glasgow mathematical journal, Tome 58 (2016) no. 2, pp. 293-311

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DOI

We 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. 
SCHILLEWAERT, J.; MALDEGHEM, H. VAN. A COMBINATORIAL CHARACTERIZATION OF THE LAGRANGIAN GRASSMANNIAN LG(3,6)(${\mathbb{K}}$). Glasgow mathematical journal, Tome 58 (2016) no. 2, pp. 293-311. doi: 10.1017/S0017089515000208
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     author = {SCHILLEWAERT, J. and MALDEGHEM, H. VAN},
     title = {A {COMBINATORIAL} {CHARACTERIZATION} {OF} {THE} {LAGRANGIAN} {GRASSMANNIAN} {LG(3,6)(}${\mathbb{K}}$)},
     journal = {Glasgow mathematical journal},
     pages = {293--311},
     year = {2016},
     volume = {58},
     number = {2},
     doi = {10.1017/S0017089515000208},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000208/}
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