scientific article

zbMath0798.52010MaRDI QIDQ4031179

A. G. Khovanskii, Aleksandr V. Pukhlikov

Publication date: 1 April 1993

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

polytopes integrals lattice sums Riemann-Roch theorem quasipolynomial Todd operator pointed cones convex chains

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Riemann-Roch theorems (14C40)

Related Items

Zonotopal algebra and forward exchange matroids, On combinatorics of the Arthur trace formula, convex polytopes, and toric varieties, Grassmannians, flag varieties, and Gelfand–Zetlin polytopes, Exact Euler-Maclaurin formulas for simple lattice polytopes, Generating functions and duality for integer programs, New polytope decompositions and Euler-Maclaurin formulas for simple integral polytopes, The Euler-Maclaurin Formula in the Problem of Summation over Lattice Points of a Simplex, On a Conjecture of Holtz and Ron Concerning Interpolation, Box Splines, and Zonotopes, Volume polynomials and duality algebras of multi-fans, Criteria for Hattori-Masuda multi-polytopes via Duistermaat-Heckman functions and winding numbers, 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, Continous analogues for the binomial coefficients and the Catalan numbers, Multidimensional analogues of the Euler-Maclaurin summation formula and the Borel transform of power series, Asymptotic Euler-Maclaurin formula over lattice polytopes, Plane partitions with a ``pit: generating functions and representation theory, Correction to the leading term of asymptotics in the problem of counting the number of points moving on a metric tree, Residue formulae for vector partitions and Euler-Maclaurin sums., Equivariant \(\mathbb{R}\)-test configurations and semistable limits of \(\mathbb{Q}\)-Fano group compactifications, Euler-Maclaurin formulas via differential operators, Toric geometry. Abstracts from the workshop held March 27 -- April 2, 2022, Unnamed Item, Unnamed Item, Weighted lattice point sums in lattice polytopes, unifying Dehn-Sommerville and Ehrhart-Macdonald, Algebraic vertices of non-convex polyhedra, Riemann sums over polytopes, Integral representations in the theory of controlled systems, A Fourier-type transform on translation-invariant valuations on convex sets, Harish-Chandra's volume formula via Weyl's law and Euler-Maclaurin formula, Cycle-level products in equivariant cohomology of toric varieties, Dimensions of multi-fan duality algebras, New strings for old Veneziano amplitudes. III: Symplectic treatment, The inverse moment problem for convex polytopes, Cobordisms, manifolds with torus action, and functional equations, Quasitoric totally normally split manifolds, Formulas of Brion, Lawrence, and Varchenko on rational generating functions for cones., On the theory of coconvex bodies, La valeur optimale des programmes entiers. (The optimal value of integer programs), Schubert calculus from polyhedral parametrizations of Demazure crystals, Generating functions for vector partition functions and a basic recurrence relation, Paradan's wall crossing formula for partition functions and Khovanski-Pukhlikov differential operator, \(W\)-translated Schubert divisors and transversal intersections, Multidimensional Analog of the Bernoulli Polynomials and its Properties, The Discrete Analog of the Newton-Leibniz Formula in the Problem of Summation over Simplex Lattice Points, Euler characteristic of coherent sheaves on simplicial torics via the Stanley–Reisner ring, The Cauchy Problem for Multidimensional Difference Equations in Lattice Cones, On a valuation of rational subsets of \(Z^{k}\), Generalized virtual polytopes and quasitoric manifolds, Multipolytopes and convex chains, Schubert calculus on Newton-Okounkov polytopes, Approximating sums by integrals only: multiple sums and sums over lattice polytopes, The Frobenius problem, rational polytopes, and Fourier-Dedekind sums, Euler-Maclaurin with remainder for a simple integral polytope, Splines, lattice points, and arithmetic matroids, Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group