Combinatorial Fans, Lattice-ordered Groups, and Their Neighbours: A Short Excursion
Séminaire lotharingien de combinatoire, Tome 47 (2001-2002)
Cet article a éte moissonné depuis la source Séminaire Lotharingien de Combinatoire website
Just like the celebrated dictionary between integral convex geometry and toric varieties bridged until then remote mathematical worlds, the less well-known duality between (certain) lattice-ordered groups and rational polyhedral sets brought combinatorial techniques to bear on the investigation of these abstract algebraic structures. We offer a brief excursion into these relatively new territories, with special emphasis on the novel and admittedly unclear rôle played by order-theoretical considerations.
@article{SLC_2001-2002_47_a5,
author = {Vincenzo Marra and Daniele Mundici},
title = {Combinatorial {Fans,} {Lattice-ordered} {Groups,} and {Their} {Neighbours:} {A} {Short} {Excursion}},
journal = {S\'eminaire lotharingien de combinatoire},
year = {2001-2002},
volume = {47},
url = {http://geodesic.mathdoc.fr/item/SLC_2001-2002_47_a5/}
}
Vincenzo Marra; Daniele Mundici. Combinatorial Fans, Lattice-ordered Groups, and Their Neighbours: A Short Excursion. Séminaire lotharingien de combinatoire, Tome 47 (2001-2002). http://geodesic.mathdoc.fr/item/SLC_2001-2002_47_a5/