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Lu Qi-Keng Problem and Topological Properties of Zero Variety on the Thullen Domain.
- Source :
-
Frontiers of Mathematics . Aug2023, Vol. 18 Issue 4, p817-836. 20p. - Publication Year :
- 2023
-
Abstract
- In this paper, we consider Lu Qi-Keng problem on the Thullen domain. By constructing an invariant, we find a self-reciprocal polynomial which depends only on the dimension and is independent of the parameter p of the Thullen domain, and then get a fixed number po such that the Bergman kernel function has zero points for 0 < p < po. Meanwhile, when the Bergman kernel function has zeros, the topology of the zero variety and the set of boundary points which are the accumulation points of zeros are characterized. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TOPOLOGICAL property
*KERNEL functions
*TOPOLOGY
*POINT set theory
*BERGMAN spaces
Subjects
Details
- Language :
- English
- ISSN :
- 27318648
- Volume :
- 18
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Frontiers of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 165466743
- Full Text :
- https://doi.org/10.1007/s11464-020-0011-5