A COMBINATORIAL CHARACTERIZATION OF THE LAGRANGIAN GRASSMANNIAN LG(3,6)(${\mathbb{K}}$)

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). Th...

Full description

Saved in:
Bibliographic Details
Published inGlasgow mathematical journal Vol. 58; no. 2; pp. 293 - 311
Main Authors SCHILLEWAERT, J., VAN MALDEGHEM, H.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.05.2016
Subjects
Axioms
Combinatorial analysis
Combinatorics
Construction
Geometry
Mathematical analysis
51M35
51E24
51A50
51A45
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089515000208