Transcendental b-divisors II -- Monotonicity theorem
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914395284570112 |
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| author | Xia, Mingchen |
| author_facet | Xia, Mingchen |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14362 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Transcendental b-divisors II -- Monotonicity theorem Xia, Mingchen Algebraic Geometry Complex Variables Differential Geometry 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. |
| title | Transcendental b-divisors II -- Monotonicity theorem |
| topic | Algebraic Geometry Complex Variables Differential Geometry |
| url | https://arxiv.org/abs/2603.14362 |