Transcendental b-divisors II -- Monotonicity theorem
Algebraic Geometry
2026-03-17 v1 Complex Variables
Differential Geometry
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.
Keywords
Cite
@article{arxiv.2603.14362,
title = {Transcendental b-divisors II -- Monotonicity theorem},
author = {Mingchen Xia},
journal= {arXiv preprint arXiv:2603.14362},
year = {2026}
}