Geodesic
A model-theoretic study of right-angled buildings
Journal of the European Mathematical Society, Tome 19 (2017) no. 10, pp. 3091-3141.

Voir la notice de l'article provenant de la source EMS Press

We study the model theory of right-angled buildings with infinite residues. For every Coxeter graph we obtain a complete theory with a natural axiomatisation, which is ω-stable and equational. Furthermore, we provide sharp lower and upper bounds for its degree of ampleness, computed exclusively in terms of the associated Coxeter graph. This generalises and provides an alternative treatment of the free pseudospace.
DOI : 10.4171/jems/736
Classification : 03-XX, 51-XX
Keywords: Model theory, ampleness, Coxeter, buildings 
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Andreas Baudisch; Amador Martin-Pizarro; Martin Ziegler. A model-theoretic study of right-angled buildings. Journal of the European Mathematical Society, Tome 19 (2017) no. 10, pp. 3091-3141. doi : 10.4171/jems/736. http://geodesic.mathdoc.fr/articles/10.4171/jems/736/

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