Non-collapsing volume estimate for local Kähler metrics in big cohomology classes
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866912921590693888 |
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| author | Do, Thai Duong Nguyen, Duc-Bao Vu, Duc-Viet |
| author_facet | Do, Thai Duong Nguyen, Duc-Bao Vu, Duc-Viet |
| contents | We prove a uniform local non-collapsing volume estimate for a large family of singular metrics in the big cohomology classes, which are Kähler on an open Euclidean subset of the manifold. The key ingredient is a generalization of a mixed energy estimate for functions in the complex Sobolev space to the setting of big cohomology classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16136 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-collapsing volume estimate for local Kähler metrics in big cohomology classes Do, Thai Duong Nguyen, Duc-Bao Vu, Duc-Viet Differential Geometry Complex Variables 32U15, 32Q15, 53C23 We prove a uniform local non-collapsing volume estimate for a large family of singular metrics in the big cohomology classes, which are Kähler on an open Euclidean subset of the manifold. The key ingredient is a generalization of a mixed energy estimate for functions in the complex Sobolev space to the setting of big cohomology classes. |
| title | Non-collapsing volume estimate for local Kähler metrics in big cohomology classes |
| topic | Differential Geometry Complex Variables 32U15, 32Q15, 53C23 |
| url | https://arxiv.org/abs/2502.16136 |