Geodesic
Unimodular triangulations and coverings of configurations arising from root systems
Journal of Algebraic Combinatorics, Tome 14 (2001) no. 3, pp. 199-219.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Existence of a regular unimodular triangulation of the configuration F ^+ È (0,0,$\dots ,0)} in R ^ n Phi^ + cup${ (0,0,$\dots ,0$)} text in R^n , where F Ì $R ^{ n} \Phi \subset R$^n and where (0, 0,$\dots ,0 $) is the origin of $R ^{ n}$ R^n , will be shown for $PHgr$ = B $_{ n }$, C $_{ n }$, D $_{ n }$ and BC $_{ n }$. Moreover, existence of a unimodular covering of a certain subconfiguration of the configuration A $_{ n+1} ^{+}$ will be studied.
Keywords: initial ideals, unimodular triangulations, unimodular coverings, root systems, positive roots 
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     title = {Unimodular triangulations and coverings of configurations arising from root systems},
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     url = {http://geodesic.mathdoc.fr/item/JAC_2001__14_3_a2/}
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Ohsugi, Hidefumi; Hibi, Takayuki. Unimodular triangulations and coverings of configurations arising from root systems. Journal of Algebraic Combinatorics, Tome 14 (2001) no. 3, pp. 199-219. http://geodesic.mathdoc.fr/item/JAC_2001__14_3_a2/