Stably-interior points and the Semicontinuity of the Automorphism group

作者：Greene Robert E; Kim Kang Tae^*

来源：Mathematische Zeitschrift, 2014, 277(3-4): 909-916.

DOI：10.1007/s00209-014-1284-8

We present the new semicontinuity theorem for automorphism groups: If a sequence of bounded pseudoconvex domains in converges to in -topology, where is a bounded pseudoconvex domain in with its boundary and of the D%26apos;Angelo finite type and with compact, then there is an integer such that, for every , there exists an injective Lie group homomorphism . The method of our proof of this theorem is new that it simplifies the proof of the earlier semicontinuity theorems for bounded strongly pseudoconvex domains.

• 出版日期2014-8