The cone of pseudo-effective divisors of log varieties after Batyrev

DOI10.1007/s00209-008-0457-8zbMath1189.14006arXivmath/0502174OpenAlexW3101465912MaRDI QIDQ846886

Carolina Araujo

Publication date: 15 February 2010

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

Full work available at URL: https://arxiv.org/abs/math/0502174

Mathematics Subject Classification ID

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

Related Items (18)

A cone theorem for nef curves ⋮ Minimal models for Kähler threefolds ⋮ Effective Iitaka fibrations ⋮ On Fujita's log spectrum conjecture ⋮ Fano 4-folds, flips, and blow-ups of points ⋮ On Fujita's spectrum conjecture ⋮ Rational curves on complex manifolds ⋮ Geometric consistency of Manin's conjecture ⋮ On the birational geometry of Fano 4-folds ⋮ FINITENESS OF LOG MINIMAL MODELS AND NEF CURVES ON -FOLDS IN CHARACTERISTIC ⋮ On the dual of the mobile cone ⋮ Adjoint -classes on threefolds ⋮ The cone of moving curves of a smooth Fano three- or fourfold ⋮ On Smooth Lattice Polytopes with Small Degree ⋮ A higher-dimensional generalization of Mumford's rational pullback for Weil divisors ⋮ On a generalized Batyrev's cone conjecture ⋮ Families of canonically polarized manifolds over log Fano varieties ⋮ Unnamed Item

Cites Work

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• Ascending chain condition for log canonical thresholds and termination of log flips
• Log abundance theorem for threefolds
• 3-fold log models
• On Kodaira energy of polarized log varieties
• Toward a numerical theory of ampleness
• A cone theorem for nef curves
• Existence of minimal models for varieties of log general type
• Flip Theorem and the Existence of Minimal Models for 3-Folds
• Über exponierte Punkte abgeschlossener Punktmengen
• Effective base point freeness

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