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Deformation of compact Riemann surfaces Y of genus p with distinguished points P 1 …, P mY

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1422)

Keywords

  • Riemann Surface
  • Fuchsian Group
  • Compact Riemann Surface
  • Quasi Conformal Mapping
  • Infinitesimal Deformation

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References

  1. Abikoff, W.: The Real Analytic Theory of Teichmüller Spaces. Berlin, Heidelberg, New York. Springer 1980

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  2. Flenner, H.: Über Deformationen holomorpher Abbildungen. Habilitationsschrift. Osnabrück 1978

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  3. Grauert, H.: Jetmetriken und hyperbolische Geometrie. Math. Z. 200 (1989)

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  4. Kodaira, K., Nierenberg, L., Spencer, D.C.: On the Existence of Deformations of Complex Analytic Structures. Ann. of Math. 68, 450–459 (1958)

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  5. Kodaira, K., Spencer, D.C.: On Deformation of Complex Analytic Structure I, II. Ann. of Math 67, 328–468 (1958)

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  6. Kodaira, K., Spencer, D.C.: A Theorem of Completeness for Complex Analytic Fiber Spaces. Acta Math. 100, 281–294 (1958)

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  7. Kobayashi, S.: Intrinsic Distances, Measures and Geometric Function Theory. Bull. Am. Math. Soc. 82, 357–416 (1976)

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Dedicated to E. Vesentini to the occasion of his 60th birthday

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© 1990 Springer-Verlag

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Dethloff, G., Grauert, H. (1990). Deformation of compact Riemann surfaces Y of genus p with distinguished points P 1 …, P mY . In: Villani, V. (eds) Complex Geometry and Analysis. Lecture Notes in Mathematics, vol 1422. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089403

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  • DOI: https://doi.org/10.1007/BFb0089403

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52434-2

  • Online ISBN: 978-3-540-46988-9

  • eBook Packages: Springer Book Archive