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The singularities of the modulus space
Author:
H. E. Rauch
Journal:
Bull. Amer. Math. Soc. 68 (1962), 390-394
MathSciNet review:
0141781
Full-text PDF
References |
Additional Information
- 1.
Lars
V. Ahlfors, The complex analytic structure of the space of closed
Riemann surfaces., Analytic functions, Princeton Univ. Press,
Princton, N.J., 1960, pp. 45–66. MR 0124486
(23 #A1798)
- 2.
Lipman
Bers, Spaces of Riemann surfaces, Proc. Internat. Congress
Math. 1958, Cambridge Univ. Press, New York, 1960, pp. 349–361.
MR
0124484 (23 #A1796)
- 3.
Henri
Cartan, Quotient d’un espace analytique par un groupe
d’automorphismes, Algebraic geometry and topology., Princeton
University Press, Princeton, N. J., 1957, pp. 90–102 (French). A
symposium in honor of S. Lefschetz,. MR 0084174
(18,823b)
- 4.
Irwin
Fischer, The moduli of hyperelliptic
curves, Trans. Amer. Math. Soc. 82 (1956), 64–84. MR 0077997
(17,1130b), http://dx.doi.org/10.1090/S0002-9947-1956-0077997-3
- 5.
A. Hurwitz, Mathematische Werke, Bd. 1, Basel, 1932.
- 6.
Jun-ichi
Igusa, Arithmetic variety of moduli for genus two, Ann. of
Math. (2) 72 (1960), 612–649. MR 0114819
(22 #5637)
- 7.
Joseph
Lewittes, Invariant quadratic
differentials, Bull. Amer. Math. Soc. 68 (1962), 320–322.
MR
0138757 (25 #2200), http://dx.doi.org/10.1090/S0002-9904-1962-10788-5
- 8.
H.
E. Rauch, Variational methods in the problem of the moduli of
Riemann surfaces., Contributions to function theory (Internat. Colloq.
Function Theory, Bombay, 1960), Tata Institute of Fundamental Research,
Bombay, 1960, pp. 17–40. MR 0132173
(24 #A2020)
- 9.
H.
E. Rauch, On the moduli of Riemann surfaces, Proc. Nat. Acad.
Sci. U.S.A. 41 (1955), 236–238; errata, 421. MR 0072234
(17,251g)
- 10.
Oscar
Zariski, The concept of a simple point of an
abstract algebraic variety, Trans. Amer. Math.
Soc. 62 (1947),
1–52. MR
0021694 (9,99j), http://dx.doi.org/10.1090/S0002-9947-1947-0021694-1
- 11.
Oscar
Zariski, On the purity of the branch locus of algebraic
functions, Proc. Nat. Acad. Sci. U.S.A. 44 (1958),
791–796. MR 0095846
(20 #2344)
- 1.
- L. Ahlfors, The complex analytic structure of the space of closed Riemann surfaces, Analytic functions, pp. 45-60, Princeton Univ. Press, Princeton, N. J., 1960. MR 124486
- 2.
- L. Bers, Spaces of Riemann surfaces, Proc. Int. Cong. Math. Edinburgh, 1958, pp. 349-361. MR 124484
- 3.
- H. Cartan, Quotient d'un espace analytique par un groupe d'automorphismes, Algebraic geometry and topology, Princeton, 1957, pp. 90-102. MR 84174
- 4.
- I. Fischer, The moduli of hyperelliptic curves, Trans. Amer. Math. Soc. 82 (1956), 64-84. MR 77997
- 5.
- A. Hurwitz, Mathematische Werke, Bd. 1, Basel, 1932.
- 6.
- J. Igusa, Arithmetic variety of moduli for genus two, Ann. of Math. (2) 72 (1960), 612-649. MR 114819
- 7.
- J. Lewittes, Invariant quadratic differentials, Bull. Amer. Math. Soc. 68 (1962), 320-322. MR 138757
- 8.
- H. E. Rauch, Variational methods in the problem of the moduli of Riemann surfaces, Contributions to function theory, Bombay, 1960, pp. 17-40. MR 132173
- 9.
- H. E. Rauch, On the moduli of Riemann surfaces, Proc. Nat. Acad. Sci. U.S.A. 41 (1955), 236-238. MR 72234
- 10.
- O. Zariski, The concept of a simple point of an abstract algebraic variety, Trans. Amer. Math. Soc. 62 (1947), 1-52. MR 21694
- 11.
- O. Zariski, The purity of the branch locus of algebraic functions, Proc. Nat. Acad. Sci. U.S.A. 44 (1958), 791-796. MR 95846
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1962-10818-0
PII:
S 0002-9904(1962)10818-0
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