Sufficient bigness criterion for differences of two nef classes

DOI10.1007/s00208-015-1230-zzbMath1341.32015arXiv1405.2518OpenAlexW3104256104MaRDI QIDQ2634886

Dan Popovici

Publication date: 10 February 2016

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

Full work available at URL: https://arxiv.org/abs/1405.2518

zbMATH Keywords

Morse inequalitiesMonge-Ampère equationtranscendental cohomology classes

Mathematics Subject Classification ID

Compact complex (n)-folds (32J18) Compact Kähler manifolds: generalizations, classification (32J27) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Complex Monge-Ampère operators (32W20)

Related Items (13)

Some properties of balanced hyperbolic compact complex manifolds ⋮ Convexity and Zariski decomposition structure ⋮ Spectral interpretations of dynamical degrees and applications ⋮ Characterizing volume via cone duality ⋮ The complex Monge-Ampère type equation on compact Hermitian manifolds and applications ⋮ Algebraic reverse Khovanskii-Teissier inequality via Okounkov bodies ⋮ Quasi-plurisubharmonic envelopes 3: solving Monge-Ampère equations on Hermitian manifolds ⋮ A remark on the convergence of the inverse \(\sigma_k\)-flow ⋮ Several special complex structures and their deformation properties ⋮ Duality between the pseudoeffective and the movable cone on a projective manifold ⋮ On Grauert-Riemenschneider type criteria ⋮ Bézout-Type Inequality in Convex Geometry ⋮ Intersection theory of nefb-divisor classes

Cites Work

• The Kähler rank of compact complex manifolds
• Courants kählériens et surfaces compactes. (Kähler currents and compact surfaces)
• Aeppli Cohomology Classes Associated with Gauduchon Metrics on Compact Complex Manifolds
• The complex Monge-Ampère equation on compact Hermitian manifolds
• The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension

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