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Satake compactification and extension of holomorphic mappings. (English) Zbl 0234.32020


MSC:

32J05 Compactification of analytic spaces
32M15 Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects)
32D15 Continuation of analytic objects in several complex variables
32M10 Homogeneous complex manifolds
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References:

[1] Baily, W.L., Jr., Borel, A.: Compactification of arithmetic quotients of bounded symmetric domains. Ann. of Math.84, 442–528 (1966). · Zbl 0154.08602 · doi:10.2307/1970457
[2] Kiernan, P. J.: Extension of holomorphic maps. To appear in Trans. Amer. Math. Soc · Zbl 0255.32014
[3] Kobayashi, S.: Hyperbolic manifolds and holomorphic mappings. New York: Marcel Dekker 1970. · Zbl 0207.37902
[4] Kobayashi, S., Ochiai, T.: Satake compactification and the great Picard theorem. J. Math. Soc. Japan23, 340–350 (1971). · Zbl 0212.42702 · doi:10.2969/jmsj/02320340
[5] Kwack, M. H.: Generalization of the big Picard theorem. Ann. of Math.90, 9–22 (1969) · Zbl 0179.12103 · doi:10.2307/1970678
[6] Pyatetzki-Shapiro, I. I.: Géométrie des domaines classiques et théorie des fonctions automorphes. Paris: Dunod, 1966; English translation. New York: Gordon and Breach 1969. See also Arithmetic groups in complex domains, Russian Math. Surveys19, 83–109 (1964).
[7] Satake, I.: On compactifications of the quotient spaces for arithmetically defined discontinuous groups. Ann. of Math.72, 555–580 (1960). · Zbl 0146.04701 · doi:10.2307/1970229
[8] Satake, I.: A note on holomorphic imbeddings and compactification of symmetric domains. Amer. J. Math.90, 231–247 (1968). · Zbl 0187.02903 · doi:10.2307/2373434
[9] Wolf, J.A., Korànyi, A.: Generalized Cayley transformations of bounded symmetric domains. Amer. J. Math.87, 899–939 (1965). · Zbl 0137.27403 · doi:10.2307/2373253
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