Electronic Resource
Springer
Geometriae dedicata
67 (1997), S. 163-180
ISSN:
1572-9168
Keywords:
Coxter complexes
;
GF(2)-modules
;
affine expansions.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Let Γ be a finite geometry of rank n ≥ 2 with a selected type of elements, called'points'. Let m be the number of'points' of Γ. Under some mild hypotheses on Γ we can consider an affine expansion of Γ to AG(m,2). We prove that the geometries obtained by applying this construction to matroids are simply connected. Then we exploit this result to study universal covers of certain geometries arising from hyperbolic quadrics and symplectic varieties over GF.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1004913528398
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