Definitions of the volume of a big cohomology class
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909645970341888 |
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| author | Cartwright, Tiernan |
| author_facet | Cartwright, Tiernan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09486 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Definitions of the volume of a big cohomology class Cartwright, Tiernan Complex Variables Algebraic Geometry 32J27 (Primary) 32J25 (Secondary) 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. |
| title | Definitions of the volume of a big cohomology class |
| topic | Complex Variables Algebraic Geometry 32J27 (Primary) 32J25 (Secondary) |
| url | https://arxiv.org/abs/2506.09486 |