Formulas of Brion, Lawrence, and Varchenko on rational generating functions for cones.
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Publication:1000914
DOI10.1007/s00283-008-9013-yzbMath1185.05007OpenAlexW1978089913MaRDI QIDQ1000914
Christian Haase, Matthias Beck, Frank J. Sottile
Publication date: 11 February 2009
Published in: The Mathematical Intelligencer (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00283-008-9013-y
Exact enumeration problems, generating functions (05A15) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07)
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Cites Work
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- Combinatorics and topology of the situation of affine hyperplanes in real space
- Ein Fortsetzungssatz für additive Eipolyederfunktionale im euklidischen Raum
- Irrational proofs for three theorems of Stanley
- Valuations and polarity
- Lefschetz-Riemann-Roch for singular varieties
- On the extension of additive functionals on classes of convex sets
- POLYHEDRAL LAURENT SERIES AND BRION’S EQUALITIES
- Polytope Volume Computation
- Computing the Continuous Discretely
- Points entiers dans les polyèdres convexes
- A Polynomial Time Algorithm for Counting Integral Points in Polyhedra When the Dimension is Fixed
- A Primal Barvinok Algorithm Based on Irrational Decompositions