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arXiv · 2506.09486

Definitions of the volume of a big cohomology class

Tiernan Cartwright
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Abstract

We elaborate on how two definitions of the volume of a big cohomology class are consistent. The first definition involves taking the absolutely continuous part of a closed positive current, and the second involves the non-pluripolar product. We also describe how a similar equality holds for the numerical restricted volume introduced by Collins and Tosatti.

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Tiernan Cartwright. 2025-06-11. Definitions of the volume of a big cohomology class. https://arxiv.org/abs/2506.09486

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