Theorems of Brion, Lawrence, and Varchenko on rational generating functions for cones Institutional Repository Document uri icon

abstract

  • We discuss and give elementary proofs of results of Brion and of Lawrence-Varchenko on the lattice-point enumerator generating functions for polytopes and cones. This largely expository note contains a new proof of Brion's Formula using irrational decompositions, and a generalization of the Lawrence-Varchenko formula.

author list (cited authors)

  • Beck, M., Haase, C., & Sottile, F.

complete list of authors

  • Beck, Matthias||Haase, Christian||Sottile, Frank

publication date

  • June 2005