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GALOIS ORBITS OF PRINCIPAL CONGRUENCE HECKE CURVES

Published online by Cambridge University Press:  20 May 2003

THOMAS A. SCHMIDT  and
KATHERINE M. SMITH
THOMAS A. SCHMIDT
Affiliation:
Oregon State University, Corvallis, OR 97331, USAtoms@math.orst.edu
KATHERINE M. SMITH
Affiliation:
Oregon State University, Corvallis, OR 97331, USAsmithk@math.orst.edu
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Abstract

It is shown that the natural action of the absolute Galois group on the ideals defining principal congruence subgroups of certain nonarithmetic Fuchsian triangle groups is compatible with its action on the algebraic curves that these congruence groups uniformize.

Keywords

30F1005C1011G3011R3214H3020H05
Type
Research Article
Information
Journal of the London Mathematical Society , Volume 67 , Issue 3 , June 2003 , pp. 673 - 685
Copyright
The London Mathematical Society 2003

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