Huang, Xiaojun On some problems in several complex variables and CR geometry. (English) Zbl 1048.32022 Yang, Lo (ed.) et al., First international congress of Chinese mathematicians. Proceedings of the ICCM ’98, Beijing, China, December 12–16, 1998. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2652-2/pbk). AMS/IP Stud. Adv. Math. 20, 383-396 (2001). This paper reviews recent results in several complex variables, connected with the author’s research: rigidity problems of holomorphic maps between balls, or with group actions, or biolomorphic on algebraic domains; biholomorphic invariants at non totally real points of smooth or real-analytic real submanifold of \(\mathbb C^n\) of real dimension \(\leq n\); the topology of pseudoconvex domains; the regularity properties of CR maps between real hypersurfaces in \(\mathbb C^n\).For the entire collection see [Zbl 0964.00031]. Reviewer: Mauro Nacinovich (Roma) Cited in 12 Documents MSC: 32V20 Analysis on CR manifolds 32-02 Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces 32D15 Continuation of analytic objects in several complex variables 32H35 Proper holomorphic mappings, finiteness theorems Keywords:rigidity problems; holomorphic mapping PDFBibTeX XMLCite \textit{X. Huang}, AMS/IP Stud. Adv. Math. 20, 383--396 (2001; Zbl 1048.32022)