Teissier's problem on the proportionality of big and nef classes over a compact K?hler manifold

摘要

We solve Teissier's proportionality problem for transcendental nef classes over a com- pact K?hler manifold, which says that the equality in the Khovanskii-Teissier inequali- ties holds for a pair of big and nef classes if and only if the two classes are proportional. This result recovers the previous one of Boucksom-Favre-Jonsson for the case of big and nef line bundles over a (complex) projective algebraic manifold.

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