Base loci of linear series are numerically determined

DOI10.1090/S0002-9947-02-03180-XzbMath1017.14017arXivmath/0204284MaRDI QIDQ4779882

Michael Nakamaye

Publication date: 28 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204284

zbMATH Keywords

nef line bundlestable base locusbig line bundlesmoving Seshadri constant

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Divisors, linear systems, invertible sheaves (14C20)

Related Items

Fano varieties with large Seshadri constants, Multipoint Okounkov bodies, Fano varieties with large Seshadri constants in positive characteristic, Zariski chambers, volumes, and stable base loci, The augmented base locus of real divisors over arbitrary fields, Asymptotic invariants of base loci, Okounkov bodies and Seshadri constants, Asymptotic base loci via Okounkov bodies, Seshadri functions on abelian surfaces, Restricted volumes on Kähler manifolds, Okounkov bodies and the Kähler geometry of projective manifolds, Canonical growth conditions associated to ample line bundles, Seshadri constants for vector bundles, Arithmetic Seshadri fuction and Arakelov geometry, Local positivity of linear series on surfaces, Successive minima of line bundles

Cites Work

• Dyson's lemma for polynomials in several variables (and the theorem of Roth)
• Stable base loci of linear series
• A subadditivity property of multiplier ideals.
• Unnamed Item
• Unnamed Item
• Unnamed Item