Kähler families of Green's functions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929369100845056 |
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| author | Guedj, Vincent Tô, Tat Dat |
| author_facet | Guedj, Vincent Tô, Tat Dat |
| contents | In a remarkable series of works, Guo, Phong, Song, and Sturm have obtained key uniform estimates for the Green's functions associated with certain Kähler metrics. In this note, we broaden the scope of their techniques by removing one of their assumptions and allowing the complex structure to vary. We apply our results to various families of canonical Kähler metrics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_17232 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kähler families of Green's functions Guedj, Vincent Tô, Tat Dat Complex Variables Algebraic Geometry Analysis of PDEs Differential Geometry In a remarkable series of works, Guo, Phong, Song, and Sturm have obtained key uniform estimates for the Green's functions associated with certain Kähler metrics. In this note, we broaden the scope of their techniques by removing one of their assumptions and allowing the complex structure to vary. We apply our results to various families of canonical Kähler metrics. |
| title | Kähler families of Green's functions |
| topic | Complex Variables Algebraic Geometry Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2405.17232 |