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Tsuji's Numerical Trivial Fibrations

Thomas Eckl
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Abstract

The Reduction Map Theorem in H. Tsuji's work on numerical trivial fibrations is corrected and proven. To this purpose various definitions of Tsuji's new intersection numbers for pseudo-effective line bundles equipped with a positive singular hermitian metric are compared and their equivalence on sufficiently general smooth curves is shown. Numerically trivial varieties are characterized by a decomposition property of the curvature current. An important adjustment to the Reduction Map Theorem is to consider the fact that plurisubharmonic functions are singular on pluripolar sets.

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Thomas Eckl. 2002-12-20. Tsuji's Numerical Trivial Fibrations. https://arxiv.org/abs/math/0202279

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