Results 11 to 20 of about 7,386 (155)
Bergman kernels and subadjunction [PDF]
, 2010 In this article our main result is a more complete version of the statements obtained in {\rm [6]}. One of the important technical point of our proof is an $\displaystyle L^{2\over m}$ extension theorem of Ohsawa-Takegoshi type, which is derived from the
Berndtsson, Bo, Păun, Mihai
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Vanishing Bergman Kernels on the Disk [PDF]
The Journal of Geometric Analysis, 2017 We discuss topics related to zeroes of the Bergman kernels, and present a method for generating Bergman kernels with arbitrarily, but finitely, many zeroes. It is also shown that a Bergman kernel induced by a radial weight on the unit disk cannot have infinitely many zeroes.
Antti Perälä
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Bergman kernels of monomial polyhedra
Journal of Mathematical Analysis and ApplicationsThe Bergman kernels of monomial polyhedra are explicitly computed. Monomial polyhedra are a class of bounded pseudoconvex Reinhardt domains defined as sublevel sets of Laurent monomials. Their kernels are rational functions and are obtained by an application of Bell's transformation formula.
Chakrabarti, Debraj +4 more
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Algebraicity of the Bergman kernel
Mathematische Annalen, 2023 Our main result introduces a new way to characterize two-dimensional finite ball quotients by algebraicity of their Bergman kernels. This characterization is particular to dimension two and fails in higher dimensions, as is illustrated by a counterexample in dimension three constructed in this paper.
Peter Ebenfelt, Ming Xiao, Hang Xu
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Bergman Kernel from Path Integral [PDF]
Communications in Mathematical Physics, 2009 We rederive the expansion of the Bergman kernel on Kahler manifolds developed by Tian, Yau, Zelditch, Lu and Catlin, using path integral and perturbation theory, and generalize it to supersymmetric quantum mechanics. One physics interpretation of this result is as an expansion of the projector of wave functions on the lowest Landau level, in the ...
Douglas, Michael, Klevtsov, Semyon
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Bergman kernels of elementary Reinhardt domains [PDF]
Pacific Journal of Mathematics, 2020 Typos corrected.
Chakrabarti, Debraj +3 more
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Off-Spectral Analysis of Bergman Kernels [PDF]
Communications in Mathematical Physics, 2020 AbstractThe asymptotic analysis of Bergman kernels with respect to exponentially varying measures near emergent interfaces has attracted recent attention. Such interfaces typically occur when the associated limiting Bergman density function vanishes on a portion of the plane,the off-spectral region.
Hedenmalm, Haakan, Wennman, Aron
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The Bergman kernels of generalized Bergman–Hartogs domains
Journal of Mathematical Analysis and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hao, Yihong, Wang, An
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Weighted Bergman Kernels on Orbifolds
Journal of Differential Geometry, 2011 We describe a notion of ampleness for line bundles on orbifolds with cyclic quotient singularities that is related to embeddings in weighted projective space, and prove a global asymptotic expansion for a weighted Bergman kernel associated to such a line bundle.
Ross, Julius, Thomas, Richard
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Heat Kernels, Bergman Kernels, and Cusp Forms [PDF]
, 2017 This article is a slightly elaborate version of the article arXiv:1506.08497, where certain errors have been corrected on this ...
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