On constructing fields corresponding to the $\tilde {A}_ n$’s of Mestre for odd $n$
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- by John R. Swallow PDF
- Proc. Amer. Math. Soc. 122 (1994), 85-89 Request permission
Abstract:
An isomorphism is given between the trace bilinear form of Mestre’s ${A_n}$ extensions over $\mathbb {Q}(t)$ and a certain quadratic form over $\mathbb {Q}$ with base field lifted to $\mathbb {Q}(t)$. This reduces the problem of constructing ${\tilde A_n}$ extensions from Mestre’s ${A_n}$’s to that of diagonalizing certain forms over $\mathbb {Q}$. The result expands a result of Schneps.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 85-89
- MSC: Primary 12F12; Secondary 11E12, 11R32
- DOI: https://doi.org/10.1090/S0002-9939-1994-1204386-7
- MathSciNet review: 1204386