%0 Journal Article
%T Rational polyhedra and projective lattice-ordered abelian groups with order unit
%A Leonardo Cabrer
%A Daniele Mundici
%J Mathematics
%D 2009
%I arXiv
%X An l-group G is an abelian group equipped with a translation invariant lattice order. Baker and Beynon proved that G is finitely generated projective iff it is finitely presented. A unital l-group is an l-group G with a distinguished order unit, i.e., an element u in G whose positive integer multiples eventually dominate every element of G. While every finitely generated projective unital l-group is finitely presented, the converse does not hold in general. Classical algebraic topology (a la Whitehead) will be combined in this paper with the W{\l}odarczyk-Morelli solution of the weak Oda conjecture for toric varieties, to describe finitely generated projective unital l-groups.
%U http://arxiv.org/abs/0907.3064v1