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Bergman kernels of
elementary Reinhardt domains
Debraj Chakrabarti, Austin Konkel, Meera Mainkar and Evan Miller |
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Vol. 306 (2020), No. 1, 67–93
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Abstract |
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We study the Bergman kernel of certain domains in , called elementary Reinhardt domains, generalizing the classical Hartogs triangle. For some elementary Reinhardt domains, we explicitly compute the kernel, which is a rational function of the coordinates. For some other such domains, we show that the kernel is not a rational function. For a general elementary Reinhardt domain, we obtain a representation of the kernel as an infinite series. |
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Keywords
Bergman kernel
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Mathematical Subject Classification 2010
Primary: 32A25
Secondary: 32A07
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Milestones
Received: 6 September 2019
Revised: 3 January 2020
Accepted: 12 January 2020
Published: 14 June 2020
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Authors |
| Debraj Chakrabarti | |
| Department of Mathematics Central Michigan University Mt Pleasant, MI United States |
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| Austin Konkel | |
| Department of Mathematics Central Michigan University Mt Pleasant, MI United States |
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| Meera Mainkar | |
| Department of Mathematics Central Michigan University Mt Pleasant, MI United States |
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| Evan Miller | |
| Department of Mathematics Central Michigan University Mt Pleasant, MI United States |
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