Formulas of Brion, Lawrence, and Varchenko on Rational Generating Functions for Cones

Beck, Matthias; Haase, Christian; Sottile, Frank
January 2009
Mathematical Intelligencer;Winter2009, Vol. 31 Issue 1, p17
Academic Journal
The article discusses that mathematical formulas of Michel Brion, James Lawrence and Alexander N. Varchenko on rational generating functions for cones. Brion's formula emphasizes that certain data of a polytope, the list of its integer points embedded in a generating function, can be deduced to cones. It states that both Brion and Lawrence-Varchenko formulas are easy corollaries of duality being a valuation.


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