The log-term of the Bergman kernel of the disc bundle over a homogeneous Hodge manifold

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• 作者：Andrea Loi ; Roberto Mossa ; Fabio Zuddas
• 关键词：Bergman kernel ; Diastasis ; Ramadanov conjecture ; Homogeneous space ; Log ; term
• 刊名：Annals of Global Analysis and Geometry
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：51
• 期：1
• 页码：35-51
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Analysis; Statistics for Business/Economics/Mathematical Finance/Insurance; Theoretical, Mathematical and Computational Physics; Group Theory and Generalizations; Geometry;
• 出版者：Springer Netherlands
• ISSN：1572-9060
• 卷排序：51

文摘

We show the vanishing of the log-term in the Fefferman expansion of the Bergman kernel of the disk bundle over a compact simply-connected homogeneous Kähler–Einstein manifold of classical type. Our results extends that in (Engliš and Zhang, Math Z 264(4):901–912, 2010) for the case of Hermitian symmetric spaces of compact type.