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arXiv · 2307.15909

Derivative of volumes of big cohomology classes

Duc-Viet Vu
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Abstract

We prove that the partial derivative of the volume function of big classes along any real divisor in a compact Kaehler manifold is equal to the numerical restricted volume of that class to the divisor. A consequence of our main result is that the divisorial components of the non-Kaehler locus of a big class lie in fact in the null locus of that class.

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Duc-Viet Vu. 2023-07-29. Derivative of volumes of big cohomology classes. https://arxiv.org/abs/2307.15909

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