Volume and Hilbert functions of \(\mathbb{R}\)-divisors

DOI10.1307/mmj/1465329018zbMath1353.14011arXiv1503.02324OpenAlexW2964301253MaRDI QIDQ737125

Brian Lehmann, Mihai Fulger, János Kollár

Publication date: 8 August 2016

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02324

zbMATH Keywords

Hilbert functionvolume of \(\mathbb R\)-divisors

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20)

Related Items (12)

K-semistable Fano manifolds with the smallest alpha invariant ⋮ Fano varieties with large Seshadri constants ⋮ Fano varieties with large Seshadri constants in positive characteristic ⋮ Slope inequalities for fibrations of non-maximal Albanese dimension ⋮ Totally invariant divisors of int-amplified endomorphisms of normal projective varieties ⋮ Seshadri constants and K-stability of Fano manifolds ⋮ Building blocks of polarized endomorphisms of normal projective varieties ⋮ Seshadri constants and Okounkov bodies revisited ⋮ Iitaka dimension for cycles ⋮ Building blocks of amplified endomorphisms of normal projective varieties ⋮ THE GAMMA CONSTRUCTION AND ASYMPTOTIC INVARIANTS OF LINE BUNDLES OVER ARBITRARY FIELDS ⋮ Local positivity and effective Diophantine approximation

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• Asymptotic cohomological functions on projective varieties
• Differentiability of volumes of divisors and a problem of Teissier
• Convex bodies associated to linear series
• Polarized Varieties with a Given Hilbert Polynomial

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