## Algebras of automorphic forms with few generators

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- by Philip Wagreich
- Trans. Amer. Math. Soc.
**262**(1980), 367-389 - DOI: https://doi.org/10.1090/S0002-9947-1980-0586722-2
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## Abstract:

Those finitely-generated Fuchsian groups*G*for which the graded algebra of automorphic forms

*A*is generated by 2 or 3 elements are classified. In these cases the structure of

*A*is described.

## References

- M. F. Atiyah and I. G. Macdonald,
*Introduction to commutative algebra*, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1969. MR**0242802** - P. E. Conner and Frank Raymond,
*Manifolds with few periodic homeomorphisms*, Proceedings of the Second Conference on Compact Transformation Groups (Univ. Massachusetts, Amherst, Mass., 1971) Lecture Notes in Math., Vol. 299, Springer, Berlin, 1972, pp.Β 1β75. MR**0358835** - James B. Carrell,
*Holomorphically injective complex toral actions*, Proceedings of the Second Conference on Compact Transformation Groups (Univ. Massachusetts, Amherst, Mass., 1971) Lecture Notes in Math., Vol. 299, Springer, Berlin, 1972, pp.Β 205β236. MR**0590935**
I. Dolgachev, - R. C. Gunning,
*Lectures on modular forms*, Annals of Mathematics Studies, No. 48, Princeton University Press, Princeton, N.J., 1962. Notes by Armand Brumer. MR**0132828** - Irwin Kra,
*Automorphic forms and Kleinian groups*, Mathematics Lecture Note Series, W. A. Benjamin, Inc., Reading, Mass., 1972. MR**0357775** - John Milnor,
*On the $3$-dimensional Brieskorn manifolds $M(p,q,r)$*, Knots, groups, and $3$-manifolds (Papers dedicated to the memory of R. H. Fox), Ann. of Math. Studies, No. 84, Princeton Univ. Press, Princeton, N.J., 1975, pp.Β 175β225. MR**0418127** - P. Orlik and P. Wagreich,
*Algebraic surfaces with $k^*$-action*, Acta Math.**138**(1977), no.Β 1-2, 43β81. MR**460342**, DOI 10.1007/BF02392313 - B. Saint-Donat,
*On Petriβs analysis of the linear system of quadrics through a canonical curve*, Math. Ann.**206**(1973), 157β175. MR**337983**, DOI 10.1007/BF01430982 - George Springer,
*Introduction to Riemann surfaces*, Addison-Wesley Publishing Co., Inc., Reading, Mass., 1957. MR**0092855** - Philip Wagreich,
*Elliptic singularities of surfaces*, Amer. J. Math.**92**(1970), 419β454. MR**291170**, DOI 10.2307/2373333
β,

*Automorphic forms and quasi-homogeneous singularities*, Functional Anal. Appl.

**9**(1975), 149-151. β,

*Automorphic forms and quasi-homogeneous singularities*(preprint).

*Automorphic forms and singularities with*$C^{\ast }$-

*action*, Illinois J. Math. (to appear). O. Zariski and P. Samuel,

*Commutative algebra*. I, Van Nostrand, Princeton, N. J., 1959.

## Bibliographic Information

- © Copyright 1980 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**262**(1980), 367-389 - MSC: Primary 10D15; Secondary 14J17, 30F35
- DOI: https://doi.org/10.1090/S0002-9947-1980-0586722-2
- MathSciNet review: 586722