On the number of vertices of Newton-Okounkov polygons

DOI10.4171/RMI/1369zbMath1502.14128arXiv1911.09708MaRDI QIDQ2104836

Tomasz Szemberg, Joaquim Roé

Publication date: 8 December 2022

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.09708

zbMATH Keywords

algebraic surfacestoric geometryNewton-Okounkov bodies

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Divisors, linear systems, invertible sheaves (14C20) Picard groups (14C22) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Cites Work

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• Minkowski bases on algebraic surfaces with rational polyhedral pseudo-effective cone
• Convex bodies appearing as Okounkov bodies of divisors
• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• Minkowski decomposition of Okounkov bodies on surfaces
• Integrable systems, toric degenerations and Okounkov bodies
• Zariski Decomposition: A New (Old) Chapter of Linear Algebra
• Introduction to Toric Varieties. (AM-131)
• Convex bodies associated to linear series
• Zariski chambers, volumes, and stable base loci
• Geometric aspects of Newton–Okounkov bodies

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