Skip to main content
Log in

Homology, Belyî functions and canonical curves

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Arbarello, E., Cornalba, M., Griffiths, P.A., Harris, J., Geometry of Algebraic Curves, vol. 1,Grundlehren der mathematischen Wissenschaften 267. Springer Verlag (1984), Berlin, Heidelberg, New York

    Google Scholar 

  2. Belyî, G.V., On Galois extensions of a maximal cyclotomic field,Math. USSR Izvestiya 14, (1980), pp. 247–256

    Article  Google Scholar 

  3. Birch, B., Noncongruence subgroups, Covers and Drawings,London Math. Soc. Lecture Note Ser. 200, (1994), pp. 25–46

    MathSciNet  Google Scholar 

  4. Chevalley, C., Weil, A., Über das Verhalten der Integrale 1. Gattung bei Automorphismen des Funktionenkörpers,Abhandlungen aus dem mathematischen Seminar der Universität Hamburg, vol. 10 (1934), pp. 358–361

    Google Scholar 

  5. Corn, D., Singerman, D., Regular hypermaps,European J. Combinatorics 9, (1988), pp. 337–351

    MATH  MathSciNet  Google Scholar 

  6. Couveignes, J.-M., Calcul et rationalité de fonctions de Belyi en genre 0,Annales de l'Institut Fourier 44, (1994), pp. 1–38

    MATH  MathSciNet  Google Scholar 

  7. Couveignes, J.-M., Granboulan, L., Geometric Dessins,London Math. Soc. Lecture Note Ser. 200, (1994), pp. 79–113

    MathSciNet  Google Scholar 

  8. Forster, O., Lectures on Riemann Surfaces,Graduated Texts in Mathematics, vol. 81, Springer Verlag, Berlin, Heidelberg, New York

  9. GAP, Groups, Algorithms and Programming, Lehrstuhl für Mathematik RWTH Aachen

  10. Gromadzki, G., Groups of Automorphisms of Compact Riemann Surfaces,Wydawnictwo Uczelniane Wyzsej Szkoly Pedagogicznej, Bydgoszczy (1993)

  11. Jones, G., Singerman, D., Belyî Functions, Hypermaps and Galois GroupsBulletin of the London Math. Soc., to appear

  12. Jones, G., Singerman, D., Maps, Hypermaps and Triangle Groups,London Math. Soc. Lecture Note Ser. 200, (1994), pp. 115–145.

    MathSciNet  Google Scholar 

  13. Macbeath, A.M., On a curve of genus 7,Proc. London Math. Soc. (3), vol. 15 (1965), pp. 527–542

    Article  MATH  MathSciNet  Google Scholar 

  14. Malle, G., Fields of definition of some three point ramfied field extensionsLondon Math. Soc. Lecture Note Ser. 200, (1994), pp. 147–168

    MathSciNet  Google Scholar 

  15. Matzat, B.H., Konstruktive Galoistheorie,Lecture Notes in Mathematics 1284 Springer Verlag, Berlin, (1987)

    MATH  Google Scholar 

  16. Rauch, H., Lewittes, J., The Riemann Surface of Klein with 168 Automorphisms,Problems in Analysis, Princeton University Press, (1972), pp. 297–308

  17. Singerman, D., Finitely Maximal Fuchsian Groups,Jour. of the London Math. Society (2), vol. 6 (1972), pp. 29–38

    Article  MATH  MathSciNet  Google Scholar 

  18. Wolfart, J., Mirror-invariant triangulations of Riemann surfaces, triangle groups and Grothendieck dessins: variations on a theme of Belyî,preprint, (1992), Frankfurt

Download references

Author information

Authors and Affiliations

Authors

Additional information

sponsored by Human Capital and Mobility Grant on computational conformal geometry from the EU. This work is part of the author's PhD project

Rights and permissions

Reprints and permissions

About this article

Cite this article

Streit, M. Homology, Belyî functions and canonical curves. Manuscripta Math 90, 489–509 (1996). https://doi.org/10.1007/BF02568321

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02568321

Keywords

Navigation