Canonical decomposition of a difference of convex sets

DOI10.5802/alco.55zbMath1420.52005arXiv1705.00910OpenAlexW2965038885MaRDI QIDQ2316674

Ana María Botero

Publication date: 6 August 2019

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00910

zbMATH Keywords

intersection theorytoric geometryconvex geometry

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (1)

The convex-set algebra and intersection theory on the toric Riemann-Zariski space

Cites Work

• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• Cell decomposition of polytopes by bending
• Brunn-Minkowski inequality for multiplicities
• Convex bodies and multiplicities of ideals
• Introduction to Toric Varieties. (AM-131)
• Convex bodies associated to linear series
• Intersection theory of toric 𝑏-divisors in toric varieties
• Arithmetic geometry of toric varieties. Metrics, measures and heights
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