Real projective structures on Riemann surfaces

Gerd Faltings

Compositio Mathematica (1983)

  • Volume: 48, Issue: 2, page 223-269
  • ISSN: 0010-437X

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Faltings, Gerd. "Real projective structures on Riemann surfaces." Compositio Mathematica 48.2 (1983): 223-269. <http://eudml.org/doc/89593>.

@article{Faltings1983,
author = {Faltings, Gerd},
journal = {Compositio Mathematica},
keywords = {Galois covering of real algebraic curve; representation of discrete projective real 2-group; permissible connection for uniformization datum; monodromy-group of connection; real monodromy},
language = {eng},
number = {2},
pages = {223-269},
publisher = {Martinus Nijhoff Publishers},
title = {Real projective structures on Riemann surfaces},
url = {http://eudml.org/doc/89593},
volume = {48},
year = {1983},
}

TY - JOUR
AU - Faltings, Gerd
TI - Real projective structures on Riemann surfaces
JO - Compositio Mathematica
PY - 1983
PB - Martinus Nijhoff Publishers
VL - 48
IS - 2
SP - 223
EP - 269
LA - eng
KW - Galois covering of real algebraic curve; representation of discrete projective real 2-group; permissible connection for uniformization datum; monodromy-group of connection; real monodromy
UR - http://eudml.org/doc/89593
ER -

References

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  1. [1] W. Abikoff: The Real Analytic Theory of Teichmüller Space. Springer Lecture Notes in Math. 820 (1980). Zbl0452.32015MR590044
  2. [2] H.M. Farkas and I. Kra: Riemann Surfaces. Springer, New York1980. Zbl0475.30001MR583745
  3. [3] R.C. Gunning: Lectures on Riemann Surfaces. Princeton Univ. Press, Princeton1966. Zbl0175.36801MR207977
  4. [4] R.C. Gunning: Special Coordinate Coverings on Riemann Surfaces. Math. Ann.170 (1967) 67-86. Zbl0144.33501MR207978
  5. [5] N.S. Hawley: Half-order Differentials on Riemann Surfaces. Acta Math.115 (1966) 199-236. Zbl0136.06701MR190326
  6. [6] N. Katz: An Overview on Deligne's Work ... in: Proc. Symp. pure Math. XXVIII, AMS, Providence1976. Zbl0347.14010
  7. [7] F. Klein: Vorlesungen über die hypergeometrische Funktion. Springer, Berlin1933. Zbl0007.12202MR668700JFM59.0375.11
  8. [8] I. Kra: Automorphic Forms and Kleinian Groups. Benjamin, Reading1972. Zbl0253.30015MR357775
  9. [9] C. Pommerenke: Univalent Functions. Vandenhoeck & Ruprecht, Göttingen1975. Zbl0298.30014MR507768
  10. [10] J.P. Serre: Trees. Springer, Berlin1980. Zbl0548.20018MR607504
  11. [11] A. Weil: Généralisation des fonctions abéliennes. Journ. Math.17 (1938) 47-87. Zbl0018.06302JFM64.0361.02

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