Finiteness theorems for holomorphic mapping from products of hyperbolic Riemann surfaces
作者： Divakaran Divakaran , Jaikrishnan Janardhanan
DOI: 10.1142/S0129167X17500604
关键词:
摘要: We prove that the space of dominant/non-constant holomorphic mappings from a product hyperbolic Riemann surfaces finite type into certain manifolds can be covered by bounded domain is set.
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S. Bochner, Several complex variables Indian Institute Of Astrophysics. ,(1948)
M. G. Zaľdenberg, V. Ya. Lin, Finiteness Theorems for Holomorphic Maps Springer Berlin Heidelberg. pp. 113- 172 ,(1989) , 10.1007/978-3-642-61308-1_4
Yoichi Imayoshi, Generalizations of de Franchis theorem Duke Mathematical Journal. ,vol. 50, pp. 393- 408 ,(1983) , 10.1215/S0012-7094-83-05017-2
Shoshichi KOBAYASHI, Invariant distances on complex manifolds and holomorphic mappings Journal of The Mathematical Society of Japan. ,vol. 19, pp. 460- 480 ,(1967) , 10.2969/JMSJ/01940460
Shoshichi Kobayashi, Hyperbolic complex spaces ,(1998)
Masatsugu Tsuji, On the boundary value of a bounded analytic function of several complex variables Proceedings of the Japan Academy. ,vol. 21, pp. 308- 312 ,(1945) , 10.3792/PJA/1195572475
Ian Richards, On the classification of noncompact surfaces Transactions of the American Mathematical Society. ,vol. 106, pp. 259- 269 ,(1963) , 10.1090/S0002-9947-1963-0143186-0
Shoshichi Kobayashi, Takushiro Ochiai, Meromorphic Mappings onto Compact Complex Spaces of General Type. Inventiones Mathematicae. ,vol. 31, pp. 7- 16 ,(1975) , 10.1007/BF01389863
Jaikrishnan Janardhanan, Proper holomorphic mappings between hyperbolic product manifolds International Journal of Mathematics. ,vol. 25, pp. 1450039- ,(2014) , 10.1142/S0129167X14500396
Michele de Franchis, Un teorema sulle involuzioni irrazionali Rendiconti Del Circolo Matematico Di Palermo. ,vol. 36, pp. 368- 368 ,(1913) , 10.1007/BF03016041