The trace operator of quasi-plurisubharmonic functions on compact Kähler manifolds
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912963799023616 |
|---|---|
| author | Darvas, Tamás Xia, Mingchen |
| author_facet | Darvas, Tamás Xia, Mingchen |
| contents | We introduce the trace operator for quasi-plurisubharmonic functions on compact Kähler manifolds, allowing to study the singularities of such functions along submanifolds where their generic Lelong numbers vanish. Using this construction we obtain novel $L^2$ extension theorems and give applications to restricted volumes of big line bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_08259 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The trace operator of quasi-plurisubharmonic functions on compact Kähler manifolds Darvas, Tamás Xia, Mingchen Differential Geometry Complex Variables We introduce the trace operator for quasi-plurisubharmonic functions on compact Kähler manifolds, allowing to study the singularities of such functions along submanifolds where their generic Lelong numbers vanish. Using this construction we obtain novel $L^2$ extension theorems and give applications to restricted volumes of big line bundles. |
| title | The trace operator of quasi-plurisubharmonic functions on compact Kähler manifolds |
| topic | Differential Geometry Complex Variables |
| url | https://arxiv.org/abs/2403.08259 |