中科院数学与系统科学研究院
数学研究所
学术报告
多复变与复几何研讨班
报告人：林章立 助理教授 （厦门大学）
题 目：Some problems concerning (C*)^n in several complex variables
时 间：2023.11.15（星期三）下午2:00-4:00
地 点：思源楼625
摘 要：There are three long standing open problems concerning (C*)^n in several complex variables. The first is that whether there is an injective holomorphic map from C^n to (C*)^n? The second is that does F*w=±w for every holomorphic automorphism F∈Aut((C*)^n) where w:=(z_1...z_n)^{-1}dz_1˄...˄dz_n? The third is that whether (C*)^n has the density property? It is well known that the negative answer to the first problem or the affirmative answer to the second problem both imply the negative answer to the third problem. In this talk, we show that the negative answer to the first problem also implies the affirmative answer to the second problem, and we will give a possible approach to the first problem.
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