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arXiv · 2402.05807

Rigid currents in birational geometry

Vladimir Lazić·Zhixin Xie
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Abstract

A rigid current on a compact complex manifold is a closed positive current whose cohomology class contains only one closed positive current. Rigid currents occur in complex dynamics, algebraic and differential geometry. The goals of the present paper are: (a) to give a systematic treatment of rigid currents, (b) to demonstrate how they appear within the Minimal Model Program, and (c) to give many new examples of rigid currents.

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Vladimir Lazić, Zhixin Xie. 2024-02-08. Rigid currents in birational geometry. https://arxiv.org/abs/2402.05807

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