Projective modules over polyhedral semirings
Commutative Algebra
2015-07-28 v1 Algebraic Geometry
Combinatorics
Representation Theory
Abstract
I classify projective modules over idempotent semirings that are free on a monoid. The analysis extends to the case of the semiring of convex, piecewise-affine functions on a polyhedron, for which projective modules correspond to convex families of weight polyhedra for the general linear group.
Keywords
Cite
@article{arxiv.1507.07213,
title = {Projective modules over polyhedral semirings},
author = {Andrew W. Macpherson},
journal= {arXiv preprint arXiv:1507.07213},
year = {2015}
}
Comments
27 pages