On partially ample divisors

DOI10.1002/mana.201300116zbMath1315.14011OpenAlexW1943326695MaRDI QIDQ2929424

Sung Rak Choi

Publication date: 12 November 2014

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

Full work available at URL: https://doi.org/10.1002/mana.201300116

zbMATH Keywords

Zariski decompositionaugmented base locus\(q\)-ample divisor

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20)

Cites Work

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• Uniruledness of stable base loci of adjoint linear systems via Mori theory
• Ample subvarieties and \(q\)-ample divisors
• Geography of log models: theory and applications
• Higher cohomology of divisors on a projective variety
• Asymptotic invariants of base loci
• Submanifolds of Abelian varieties
• Zariski-decomposition and abundance
• Line bundles with partially vanishing cohomology
• Duality of the cones of divisors and curves
• Asymptotic cohomology vanishing and a converse to the Andreotti-Grauert theorem on surfaces
• PARTIALLY AMPLE LINE BUNDLES ON TORIC VARIETIES
• Bigq-ample line bundles
• The diminished base locus is not always closed
• Asymptotic cohomological functions on projective varieties
• Restricted volumes and base loci of linear series
• Mori dream spaces and GIT.

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