| Title:
|
Geometric structures on toroidal maps and elliptic curves (English) |
| Author:
|
Singerman, David |
| Author:
|
Syddall, Robert I. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
50 |
| Issue:
|
5 |
| Year:
|
2000 |
| Pages:
|
495-512 |
| . |
| Category:
|
math |
| . |
| MSC:
|
05C10 |
| MSC:
|
57M15 |
| idZBL:
|
Zbl 0984.05028 |
| idMR:
|
MR1813698 |
| . |
| Date available:
|
2009-09-25T11:47:14Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136788 |
| . |
| Reference:
|
[Bel] BELYI G. V.: On Galois extensions of a maximal cyclotomic field.Izv. Akad. Nauk SSSR 43 (1979), 269-276 (Russian) [English translation: Math. USSR-Izv. 14 (1980), 247-256]. Zbl 0409.12012, MR 0534593 |
| Reference:
|
[CIW] BEAZLEYCOHEN P.-ITZYKSON C.-WOLFART J.: Fuchsian triangle groups and Grothendieck Dessins. Variations on a theme of Belyi.Comm. Math. Phys. 163 (1994), 605-627. MR 1284798 |
| Reference:
|
[CMo] COXETER H. S. M.-MOSER W. O. J.: Generators and Relations for Discrete Groups.Springer-Verlag, Berlin, 1965. Zbl 0133.28002, MR 0174618 |
| Reference:
|
[Gгi] GRIFFITHS P. A.: Introduction to Algebraic Curves.(2nd ed.). Transl. Math. Monographs 76, Amer. Math. Soc, Providence, RI, 1996 (Transl. from the Chinese by Kuniko Weltin). Zbl 0873.14030, MR 1013999 |
| Reference:
|
[Gro] GROTHENDIECK A.: Esquisse ďun programme.In: Geometric Galois Actions 1 (L. Schneps, P. Lochak, eds.), London Math. Soc. Lecture Note Ser. 242, Cambridge University Press, Cambridge, 1997. MR 1483106 |
| Reference:
|
[JSl] JONES G. A.-SINGERMAN D.: Theory of maps on orientable surfaces.Proc. London Math. Soc. (3) 37 (1978), 273-307. Zbl 0391.05024, MR 0505721 |
| Reference:
|
[JS2] JONES G. A.-SINGERMAN D.: Complex Functions, an Algebraic and Geometric Viewpoint.Cambridge University Press, Cambridge, 1987. Zbl 0608.30001, MR 0890746 |
| Reference:
|
[JSЗ] JONES G. A.-SINGERMAN D.: Belyi functions, hypermaps and Galois groups.Bull. London Math. Soc. 28 (1996), 561-590. Zbl 0853.14017, MR 1405488 |
| Reference:
|
[Kn] KNAPP A. W.: Elliptic curves.In: Math. Notes 40, Princeton Univ.Press, Princeton, NJ, 1992. Zbl 0804.14013, MR 1193029 |
| Reference:
|
[Mag] MAGNUS W.: Noneuclidean Tesselations and Their Groups.Academic Press, New York, 1974. Zbl 0293.50002, MR 0352287 |
| Reference:
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[SSy] SINGERMAN D.-SYDDALL R. I.: Belyi uniformization of elliptic curves.Bull. London Math. Soc. 29 (1997), 443-451. Zbl 0868.14019, MR 1446563 |
| Reference:
|
[St] STARK H. M.: A complete determination of the complex quadratic fields of class number one.Michigan Math. J. 14 (1967), 1-27. Zbl 0148.27802, MR 0222050 |
| Reference:
|
[Sy] SYDDALL R. I.: Uniform maps on the torus.European J. Combin. (To appear). |
| Reference:
|
[Wo] WOLFART J.: The obvious' part of Belyi's Theorem and Riemann surfaces with many automorphisms.In: Geometric Galois Actions 1 (L. Schneps, P. Lochak, eds.), London Math. Soc. Lecture Note Ser. 242, Cambridge University Press, Cambridge, 1997. Zbl 0915.14021, MR 1483112 |
| . |
