Points entiers dans les polyèdres convexes

From MaRDI portal
Publication:3819625

DOI10.24033/asens.1572zbMath0667.52011OpenAlexW1566753159MaRDI QIDQ3819625

Michel Brion

Publication date: 1988

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1988_4_21_4_653_0



Related Items

Zonotopal algebra and forward exchange matroids, Sum-integral interpolators and the Euler-Maclaurin formula for polytopes, On combinatorics of the Arthur trace formula, convex polytopes, and toric varieties, Arithmetic mirror symmetry for genus 1 curves with \(n\) marked points, Polyhedral omega: a new algorithm for solving linear Diophantine systems, The weights of simple modules in category \(\mathcal{O}\) for Kac-Moody algebras, Fejér kernels for Fourier series on \(\mathbb{T}^ n\) and on compact Lie groups, Universal Tutte polynomial, A combinatorial formula for affine Hall-Littlewood functions via a weighted Brion theorem, Brion's theorem for Gelfand-Tsetlin polytopes, Une extension du théorème de Borel-Weil. (An extension of the Borel- Weil theorem), Irrational proofs for three theorems of Stanley, Effective lattice point counting in rational convex polytopes, Genera of algebraic varieties and counting of lattice points, Multiple binomial sums, The modulus of the Fourier transform on a sphere determines 3-dimensional convex polytopes, On lattice point counting in \(\varDelta\)-modular polyhedra, Sums of finite sets, orbits of commutative semigroups, and Hilbert functions, An algebraic construction of sum-integral interpolators, On moments of a polytope, On generalizing Descartes' rule of signs to hypersurfaces, Short rational generating functions for solving some families of fuzzy integer programming problems, Hilbert series and obstructions to asymptotic semistability, Plane partitions with a ``pit: generating functions and representation theory, The unreasonable ubiquitousness of quasi-polynomials, An identity theorem for the Fourier-Laplace transform of polytopes on nonzero complex multiples of rationally parameterizable hypersurfaces, The null set of a polytope, and the Pompeiu property for polytopes, Residue formulae for vector partitions and Euler-Maclaurin sums., Euler-Maclaurin summation formula on polytopes and expansions in multivariate Bernoulli polynomials, Tautological classes of matroids, Reconstruction of polygonal shapes from sparse Fourier samples, A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes, Khovanskii's theorem and effective results on sumset structure, Multivariate splines and polytopes, Exact Quantization of Multistage Stochastic Linear Problems, Computing with an algebraic-perturbation variant of Barvinok's algorithm, Integer programming, Barvinok's counting algorithm and Gomory relaxations., An example of probability computations under the IAC assumption: the stability of scoring rules, On fundamental domains and volumes of hyperbolic Coxeter-Weyl groups, Dedekind-Carlitz polynomials as lattice-point enumerators in rational polyhedra, Characters of the Feigin-Stoyanovsky subspaces and Brion's theorem, NEW MODELS FOR VENEZIANO AMPLITUDES: COMBINATORIAL, SYMPLECTIC AND SUPERSYMMETRIC ASPECTS, Counting lattice points in certain rational polytopes and generalized Dedekind sums, INTERMEDIATE SUMS ON POLYHEDRA: COMPUTATION AND REAL EHRHART THEORY, Toric Hirzebruch-Riemann-Roch via Ishida’s theorem on the Todd genus, Mahonian Partition Identities via Polyhedral Geometry, Computing the volume, counting integral points, and exponential sums, Counting with rational generating functions, Demazure formula for A n Weyl polytope sums, A new complexity result on multiobjective linear integer programming using short rational generating functions, \(K\)-classes for matroids and equivariant localization, The duality of cusp singularities, Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra, The many aspects of counting lattice points in polytopes, New strings for old Veneziano amplitudes. III: Symplectic treatment, \(K\)-theoretic Tutte polynomials of morphisms of matroids, The inverse moment problem for convex polytopes, Relaxed complete partitions: an error-correcting Bachet's problem, Formulas of Brion, Lawrence, and Varchenko on rational generating functions for cones., On the theory of coconvex bodies, Polyhedral circuits and their applications, A generating function for all semi-magic squares and the volume of the Birkhoff polytope, q-analogues of Ehrhart polynomials, Atomic decomposition of characters and crystals, How to integrate a polynomial over a simplex, A polar dual to the momentum of toric Fano manifolds, Graded Betti numbers of good filtrations, INTERMEDIATE SUMS ON POLYHEDRA II: BIDEGREE AND POISSON FORMULA, An Alexander-type duality for valuations, Ehrhart polynomials of matroid polytopes and polymatroids, Unnamed Item, Counting lattice points of rational polyhedra, Demazure Formulas for Weight Polytopes, Linear recursions for integer point transforms, The Frobenius problem, rational polytopes, and Fourier-Dedekind sums, Values of zeta functions at negative integers, Dedekind sums and toric geometry, Pre-canonical bases on affine Hecke algebras



Cites Work