Galois Groups and Complex Multiplication
- 1 January 1978
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 235, 141-163
- https://doi.org/10.2307/1998211
Abstract
The Schur problem for rational functions is linked to the theory of complex multiplication and thereby solved. These considerations are viewed as a special case of a general problem, prosaically labeled the extension of constants problem. The relation between this paper and a letter of J. Herbrand to E. Noether (published posthumously) is speculatively summarized in a conjecture that may be regarded as an arithmetic version of Riemann’s existence theorem.Keywords
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