Toeplitz operators, submultiplicative filtrations and weighted Bergman kernels
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913574426771456 |
|---|---|
| author | Finski, Siarhei |
| author_facet | Finski, Siarhei |
| contents | We demonstrate that the weight operator associated with a submultiplicative filtration on the section ring of a polarized complex projective manifold is a Toeplitz operator. We further analyze the asymptotics of the associated weighted Bergman kernel, presenting the local refinement of earlier results on the convergence of jumping measures for submultiplicative filtrations towards the pushforward measure defined by the corresponding geodesic ray. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_05566 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Toeplitz operators, submultiplicative filtrations and weighted Bergman kernels Finski, Siarhei Complex Variables Commutative Algebra Algebraic Geometry Differential Geometry 53C55, 32A25, 47B35, 32U15, 14G22, We demonstrate that the weight operator associated with a submultiplicative filtration on the section ring of a polarized complex projective manifold is a Toeplitz operator. We further analyze the asymptotics of the associated weighted Bergman kernel, presenting the local refinement of earlier results on the convergence of jumping measures for submultiplicative filtrations towards the pushforward measure defined by the corresponding geodesic ray. |
| title | Toeplitz operators, submultiplicative filtrations and weighted Bergman kernels |
| topic | Complex Variables Commutative Algebra Algebraic Geometry Differential Geometry 53C55, 32A25, 47B35, 32U15, 14G22, |
| url | https://arxiv.org/abs/2411.05566 |