Off-diagonal estimates of partial Bergman kernels on $S^1$-symmetric Kähler manifolds

Fuente: arXiv
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Autore principale: Shabtai, Ood
Natura: Preprint
Pubblicazione: 2024
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author Shabtai, Ood
author_facet Shabtai, Ood
contents We establish local asymptotic estimates of partial Bergman kernels on closed, $S^1$-symmetric Kähler manifolds. The main result concerns the scaling asymptotics of partial Bergman kernels at generic off-diagonal points in which they are not negligible. The case of the two-dimensional sphere is discussed in detail.
format Preprint
id arxiv_https___arxiv_org_abs_2401_15416
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Off-diagonal estimates of partial Bergman kernels on $S^1$-symmetric Kähler manifolds
Shabtai, Ood
Complex Variables
Mathematical Physics
Symplectic Geometry
Spectral Theory
We establish local asymptotic estimates of partial Bergman kernels on closed, $S^1$-symmetric Kähler manifolds. The main result concerns the scaling asymptotics of partial Bergman kernels at generic off-diagonal points in which they are not negligible. The case of the two-dimensional sphere is discussed in detail.
title Off-diagonal estimates of partial Bergman kernels on $S^1$-symmetric Kähler manifolds
topic Complex Variables
Mathematical Physics
Symplectic Geometry
Spectral Theory
url https://arxiv.org/abs/2401.15416