A cone theorem for nef curves

DOI10.1090/S1056-3911-2011-00580-8zbMath1253.14014arXiv0807.2294OpenAlexW2963259186MaRDI QIDQ2894542

Brian Lehmann

Publication date: 29 June 2012

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.2294

zbMATH Keywords

cone theoremnef curves

Mathematics Subject Classification ID

Minimal model program (Mori theory, extremal rays) (14E30) Divisors, linear systems, invertible sheaves (14C20)

Related Items (10)

The cone of pseudo-effective divisors of log varieties after Batyrev ⋮ On Fujita's spectrum conjecture ⋮ Rational curves on complex manifolds ⋮ Birational Geometry of Projective Varieties and Directed Graphs ⋮ FINITENESS OF LOG MINIMAL MODELS AND NEF CURVES ON -FOLDS IN CHARACTERISTIC ⋮ Higher Dimensional Varieties and their Moduli Spaces ⋮ The cone of moving curves of a smooth Fano three- or fourfold ⋮ Balanced line bundles on Fano varieties ⋮ On a generalized Batyrev's cone conjecture ⋮ Unnamed Item

Cites Work

• The cone theorem: Note to a paper of Y. Kawamata
• The cone of pseudo-effective divisors of log varieties after Batyrev
• Zariski decomposition of divisors on algebraic varieties
• Zariski-decomposition and abundance
• BOUNDEDNESS AND K² FOR LOG SURFACES
• Zariski chambers, volumes, and stable base loci
• Divisorial Zariski decompositions on compact complex manifolds
• Boundedness theorem for Fano log-threefolds
• The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
• Unnamed Item
• Unnamed Item

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