Suita conjecture and the Ohsawa-Takegoshi extension theorem

• 成果类型: Article
• 署名作者: Blocki, Zbigniew
• 署名单位: Jagiellonian University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-012-0423-2
• 发表日期: 2013
• 页码: 149-158
• 关键词: SECTIONAL CURVATURE

摘要

We prove a conjecture of N. Suita which says that for any bounded domain D in a, one has , where c (D) (z) is the logarithmic capacity of a,a-D with respect to zaD and K (D) the Bergman kernel on the diagonal. We also obtain optimal constant in the Ohsawa-Takegoshi extension theorem.