Arithmetic linear series with base conditions

DOI10.1007/s00209-012-0991-2zbMath1260.14029arXiv1101.5462OpenAlexW2032445734MaRDI QIDQ1925725

Atsushi Moriwaki

Publication date: 19 December 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5462

zbMATH Keywords

Zariski decompositionarithmetic volumearithmetic linear series

Mathematics Subject Classification ID

Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (5)

Adelic Divisors on Arithmetic Varieties ⋮ Numerical characterization of nef arithmetic divisors on arithmetic surfaces ⋮ Arithmetic positivity on toric varieties ⋮ Adelic Cartier divisors with base conditions and the Bonnesen-Diskant-type inequalities ⋮ Successive minima and asymptotic slopes in Arakelov geometry

Cites Work

• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• Estimation of arithmetic linear series
• Big arithmetic divisors on the projective spaces over \(\mathbb{Z}\)
• Brunn-Minkowski inequality for multiplicities
• Toward Dirichlet's unit theorem on arithmetic varieties
• Algebraic Equations and Convex Bodies
• Lectures on Resolution of Singularities (AM-166)
• Convex bodies associated to linear series
• Okounkov bodies of filtered linear series

This page was built for publication: Arithmetic linear series with base conditions