Minkowski valuations on lattice polytopes

DOI10.4171/JEMS/833zbMath1506.52016arXiv1602.01117OpenAlexW3102886995MaRDI QIDQ1757300

Monika Ludwig, Károly jun. Böröczky

Publication date: 3 January 2019

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.01117

zbMATH Keywords

lattice polytopeMinkowski valuationBetke-Kneser theorem

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Related Items

\(\mathrm{SL}(n)\) contravariant vector valuations, Minkowski valuations under volume constraints, The equality cases in Steiner's projection inequality, \(L_p\)-curvature measures and \(L_{p, q}\)-mixed volumes, Generalized permutahedra: Minkowski linear functionals and Ehrhart positivity, Geometric valuation theory, Ehrhart tensor polynomials, Floating functions, Monge-Ampère operators and valuations, Iterations of Minkowski valuations, Dimension of the space of unitary equivariant translation invariant tensor valuations, CONCRETE POLYTOPES MAY NOT TILE THE SPACE, \(\mathrm{SL}(m, \mathbb{C})\)-equivariant and translation covariant continuous tensor valuations, Fixed points of Minkowski valuations, \(L_{p}\) dual curvature measures, SL(2) intertwining Minkowski valuations in the plane, New sine ellipsoids and related volume inequalities, The dual Minkowski problem for symmetric convex bodies

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