Projective modules over polyhedral semirings

2015/07/26 by Andrew W. Macpherson, Macpherson, Andrew W.
Mathematics · #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT) #math.AC #math.AG #math.CO #math.RT

paper · pdf · doi:10.48550/arxiv.1507.07213

27 pages

arxiv created 2015/07/26 · arxiv updated 2015/07/28

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.

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