Geodesic
Combinatorial Fans, Lattice-ordered Groups, and Their Neighbours: A Short Excursion
Séminaire lotharingien de combinatoire, Tome 47 (2001-2002)

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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},
     publisher = {mathdoc},
     volume = {47},
     year = {2001-2002},
     url = {http://geodesic.mathdoc.fr/item/SLC_2001-2002_47_a5/}
}
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AU  - Vincenzo Marra
AU  - Daniele Mundici
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JO  - Séminaire lotharingien de combinatoire
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%0 Journal Article
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%A Daniele Mundici
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%D 2001-2002
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%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2001-2002_47_a5/
%F 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/