Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces

DOI10.2989/16073606.2022.2146020zbMath1523.14010arXiv1905.03531OpenAlexW2943883044MaRDI QIDQ6081349

Francisco Monserrat, Carlos-Jesús Moreno-Ávila, Carlos Galindo Pastor

Publication date: 25 October 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.03531

zbMATH Keywords

flagsNewton-Okounkov bodiesnon-positive at infinity valuations

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Valuations and their generalizations for commutative rings (13A18) Divisors, linear systems, invertible sheaves (14C20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convex bodies appearing as Okounkov bodies of divisors
• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• Dynamical compactifications of \(\mathbb{C}^2\)
• The cone of curves and the Cox ring of rational surfaces given by divisorial valuations
• Local uniformization on algebraic surfaces over ground fields of characteristic \(p\neq 0\)
• Saturation for valuations on two-dimensional regular local rings
• Newton-Okounkov bodies sprouting on the valuative tree
• Very general monomial valuations of \(\mathbb{P}^2\) and a Nagata-type conjecture
• Local positivity of linear series on surfaces
• The valuative tree
• Brunn-Minkowski inequality for multiplicities
• Non-positive and negative at infinity divisorial valuations of Hirzebruch surfaces
• Newton-Okounkov bodies of exceptional curve valuations
• Vanishing sequences and Okounkov bodies
• How to determine the sign of valuation on \(\mathbb{C}[x,y\)]
• CONES OF CURVES AND OF LINE BUNDLES ON SURFACES ASSOCIATED WITH CURVES HAVING ONE PLACE AT INFINITY
• Valuations in Function Fields of Surfaces
• On the Valuations Centered in a Local Domain
• Convex bodies associated to linear series
• Minimal plane valuations
• Uniform approximation of Abhyankar valuation ideals in smooth function fields
• Zariski chambers, volumes, and stable base loci
• Positivity and complexity of ideal sheaves

This page was built for publication: Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces