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Holomorphic families of Riemann surfaces and Teichmüller spaces. III: Bimeromorphic embedding of algebraic surfaces into projective spaces by automorphic forms. (English) Zbl 0504.32019


MSC:

32G15 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
14E25 Embeddings in algebraic geometry
32N10 Automorphic forms in several complex variables
30F99 Riemann surfaces
Full Text: DOI

References:

[1] W. L. BAILY, JR., Introductory Lectures on Automorphic Forms, Publ. of the Japan Math. Soc.12, Iwanami Shoten, Publishers and Princeton University Press, 1973. · Zbl 0256.32001
[2] L. BERS, Spaces of degenerating Riemann surfaces, in Discontinuous Groups and Rieman Surfaces, Ann.of Math. Studies 79, Princeton University Press, (1974), 43-55. · Zbl 0294.32016
[3] L. BERS AND L. GREENBERG, Isomorphisms between Techmller spaces, in Advances i the Riemann Surfaces, Ann.of Math. Studies 66, Princeton University Press, (1971), 51-79. · Zbl 0224.32013
[4] Y. IMAYOSHI, Holomorphic families of Riemann surfaces and Teichmiiller spaces, t appear in the Proceedings of the 1978 Stony Brook Conference on Riemann Surfaces and Related Topics, Ann. of Math. Studies 97, 1980. · Zbl 0476.32025
[5] Y. IMAYOSHI, Holomorphic families of Riemann surfaces and Teichmiiller spaces II, Appli cations to uniformization of algebraic surfaces and compactification of two-dimen-sional Stein manifolds, Thoku Math. J. 31 (1979), 469-489. · Zbl 0472.30038 · doi:10.2748/tmj/1178229731
[6] I. KRA, Automorphic Forms and Kleinian Groups, W. A. Benjamin, Reading, Mass., 1972 · Zbl 0253.30015
[7] J. LEHNER, A Short Course in Automorphic Functions, Holt, New York, 1966 · Zbl 0138.31404
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