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Satake compacitification and extension of holomorphic mappings

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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).

    Google Scholar 

  2. Kiernan, P. J.: Extension of holomorphic maps. To appear in Trans. Amer. Math. Soc

  3. Kobayashi, S.: Hyperbolic manifolds and holomorphic mappings. New York: Marcel Dekker 1970.

    Google Scholar 

  4. Kobayashi, S., Ochiai, T.: Satake compactification and the great Picard theorem. J. Math. Soc. Japan23, 340–350 (1971).

    Google Scholar 

  5. Kwack, M. H.: Generalization of the big Picard theorem. Ann. of Math.90, 9–22 (1969)

    Google Scholar 

  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).

    Google Scholar 

  7. Satake, I.: On compactifications of the quotient spaces for arithmetically defined discontinuous groups. Ann. of Math.72, 555–580 (1960).

    Google Scholar 

  8. Satake, I.: A note on holomorphic imbeddings and compactification of symmetric domains. Amer. J. Math.90, 231–247 (1968).

    Google Scholar 

  9. Wolf, J.A., Korànyi, A.: Generalized Cayley transformations of bounded symmetric domains. Amer. J. Math.87, 899–939 (1965).

    Google Scholar 

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Partially supported by NSF Grant GP 16651.

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Kiernan, P., Kobayashi, S. Satake compacitification and extension of holomorphic mappings. Invent Math 16, 237–248 (1972). https://doi.org/10.1007/BF01425496

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