Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	王磊, 华中科技大学
Inviter:
Title:	On the rigidity of proper holomorphic self-mappings of the Hua domains
Language:	Chinese
Time & Venue:	2023.07.11 10:45-11:45 南楼N913
Abstract:	Hua domain, named after Chinese mathematician Loo-Keng Hua, is defined as a domain in $\mathbb{C}^n$ fibered over an irreducible bounded symmetric domain $\Omega \subset \mathbb{C}^d$ with the fiber over $z\in \Omega$ being a $(n-d)$-dimensional generalized complex ellipsoid $\Sigma(z)$. In 2015, Tu-Wang obtained the rigidity result that proper holomorphic mappings between two equidimensional Hua domains are biholomorphisms when the sets consisting of boundary points of Hua domains which are not strongly pseudoconvex have complex codimension at least $2$. In this article, we find a counter-example to show that the rigidity result is not true for Hua domains without this condition and obtain the rigidity of proper holomorphic self-mappings of the Hua domains in this case.