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arXiv · 2603.14362

Transcendental b-divisors II -- Monotonicity theorem

Mingchen Xia
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Abstract

In this paper, we develop the general intersection theory of nef b-divisors, extending the movable intersection theory. We define a notion of restricted volume of b-divisors and prove a quantitative version of the monotonicity of the intersection product. As a consequence, we prove a number of new volume inequalities of currents and cohomology classes.

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Mingchen Xia. 2026-03-15. Transcendental b-divisors II -- Monotonicity theorem. https://arxiv.org/abs/2603.14362

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