Fan valuations and spherical intrinsic volumes

DOI10.1007/S00026-024-00699-XMaRDI QIDQ6644280

Spencer Backman, Sebastian Manecke, Raman Sanyal

Publication date: 27 November 2024

Published in: Annals of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

characteristic polynomialsvaluationshyperplane arrangementsWhitney numbersindicator functionsfansspherical intrinsic volumes

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Mixed volumes and related topics in convex geometry (52A39) Spherical and hyperbolic convexity (52A55) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Projection volumes of hyperplane arrangements
• Integer points in polyhedra
• On the extension of additive functionals on classes of convex sets
• On valuations, the characteristic polynomial, and complex subspace arrangements
• Polyhedral Gauss-Bonnet theorems and valuations
• Euclidean matchings and minimality of hyperplane arrangements
• Antiprismlessness, or: reducing combinatorial equivalence to projective equivalence in realizability problems for polytopes
• Intrinsic volumes of polyhedral cones: a combinatorial perspective
• On the Interpretation of Whitney Numbers Through Arrangements of Hyperplanes, Zonotopes, Non-Radon Partitions, and Orientations of Graphs
• Non-linear angle-sum relations for polyhedral cones and polytopes
• Lectures on Polytopes
• AN INCLUSION–EXCLUSION IDENTITY FOR NORMAL CONES OF POLYHEDRAL SETS
• Combinatorial Reciprocity Theorems
• Living on the edge: phase transitions in convex programs with random data
• Convex Bodies The Brunn-MinkowskiTheory
• An Alexander-type duality for valuations
• Polytopes, Valuations, and the Euler Relation
• An identity for the coefficients of characteristic polynomials of hyperplane arrangements

Related Items (1)

Flag Hilbert-Poincaré series and Igusa zeta functions of hyperplane arrangements

This page was built for publication: Fan valuations and spherical intrinsic volumes

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6644280)