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Proper holomorphic self-maps of smooth bounded Reinhardt domains in ?2 |
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| Authors: | Chen ZhiHua and Pan YiFei |
| Institution: | (1) Department of Mathematics, Tongji University, Shanghai, 200092, China;(2) Department of Mathematical Sciences, Indiana University-Purdue University Fort Wayne, Fort Wayne, IN 46805-1499, USA;(3) School of Mathematics and Information Sciences, Jiangxi Normal University, Nanchang, 330022, China |
| Abstract: | It is proved that every proper holomorphic self-map of a smooth bounded Reinhardt domain in ℂ2 is an automorphism. The first author’s work was supported in part by the National Natural Science Foundation of China (Grant No. 10571135) and the Doctoral Program Foundation of the Ministry of Education of China (Grant No. 20050240711) |
| Keywords: | Reinhardt domain proper holomorphic maps |
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