Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Spaces of Riemann surfaces as bounded domains
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by Lipman Bers PDF
Bull. Amer. Math. Soc. 66 (1960), 98-103
References
  • Lars V. Ahlfors, On quasiconformal mappings, J. Analyse Math. 3 (1954), 1–58; correction, 207–208. MR 64875, DOI 10.1007/BF02803585
  • Lars V. Ahlfors, The complex analytic structure of the space of closed Riemann surfaces. , Analytic functions, Princeton Univ. Press, Princeton, N.J., 1960, pp. 45–66. MR 0124486
    • 3. L. V. Ahlfors and Lipman Bers, Riemann’s mapping theorem for variable metrics, to appear. 4. Lipman Bers, Quasiconformal mappings and Teichmüller’s theorem, to appear.
  • Lipman Bers, Spaces of Riemann surfaces, Proc. Internat. Congress Math. 1958., Cambridge Univ. Press, New York, 1960, pp. 349–361. MR 0124484
  • Henri Cartan, Quotient d’un espace analytique par un groupe d’automorphismes, Algebraic geometry and topology. A symposium in honor of S. Lefschetz, Princeton University Press, Princeton, N.J., 1957, pp. 90–102 (French). MR 0084174
  • K. Kodaira and D. C. Spencer, Existence of complex structure on a differentiable family of deformations of compact complex manifolds, Ann. of Math. (2) 70 (1959), 145–166. MR 112158, DOI 10.2307/1969895
  • H. E. Rauch, On the transcendental moduli of algebraic Riemann surfaces, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 42–49. MR 72232, DOI 10.1073/pnas.41.1.42
    • 9. Helmut Röhrl, to appear.
  • Oswald Teichmüller, Extremale quasikonforme Abbildungen und quadratische Differentiale, Abh. Preuss. Akad. Wiss. Math.-Nat. Kl. 1939 (1940), no. 22, 197 (German). MR 0003242
  • Oswald Teichmüller, Bestimmung der extremalen quasikonformen Abbildungen bei geschlossenen orientierten Riemannschen Flächen, Abh. Preuss. Akad. Wiss. Math.-Nat. Kl. 1943 (1943), no. 4, 42 (German). MR 0017803
    • 12. André Weil, Sur les modules des surfaces de Riemann, Séminaire Bourbaki, May, 1958.
Additional Information
  • Journal: Bull. Amer. Math. Soc. 66 (1960), 98-103
  • DOI: https://doi.org/10.1090/S0002-9904-1960-10415-6
  • MathSciNet review: 0111835