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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5355| Title: | Further remarks on the higher dimensional Suita conjecture |
| Authors: | Balakumar, G. P. BORAH, DIGANTA Mahajan, Prachi Verma, Kaushal Dept. of Mathematics |
| Keywords: | Suita conjecture Bergman kernel Kobayashi indicatrix 2020 2020-NOV-WEEK2 TOC-NOV-2020 |
| Issue Date: | Jul-2020 |
| Publisher: | The Institute of Mathematics of the Polish Academy of Sciences |
| Citation: | Annales Polonici Mathematici, 125(2), 101-115. |
| Abstract: | For a domain D⊂Cn, n≥2, let FkD(z)=KD(z)λ(IkD(z)), where KD(z) is the Bergman kernel of D along the diagonal and λ(IkD(z)) is the Lebesgue measure of the Kobayashi indicatrix at the point z. This biholomorphic invariant was introduced by Błocki. We study its limiting boundary behaviour on two classes of domains: h-extendible and strongly pseudoconvex polyhedral domains. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5355 https://doi.org/10.4064/ap200203-21-4 |
| ISSN: | 0066-2216 1730-6272 |
| Appears in Collections: | JOURNAL ARTICLES |
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