2006/05/16 by Weiping Yin, Yin, Weiping
Mathematics · #32F15 #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Primary 32H15 #Secondary 32F07 #math.CV #msc:32F07 #msc:32F15 #msc:32H15
paper · pdf · doi:10.48550/arxiv.math/0605428
Dedicated to Lu Qi-Keng on the occasion of his 80th birthday, 16 pages
openalex publication_date 2006/05/16 · arxiv created 2006/05/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The first part I talk about the motivation for Lu Qi-Keng conjecture and the results about the presence or absence of zeroes of the Bergman kernel function of a bounded domain in \bfCn. The second part I summarize the main results on Hua domains, such as the explicit Bergman kernel function, comparison theorem for the invariant metrics, explicit complete Einstein-Kähler metrics, the equivalence between the Einstein-Kähler metric and the Bergman metric etc.