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- Title
Galois theory and integral models of Λ-rings.
- Authors
James Borger; Bart de Smit
- Abstract
We show that any Λ-ring, in the sense of Riemann–Roch theory, which is finite étale over the rational numbers and has an integral model as a Λ-ring is contained in a product of cyclotomic fields. In fact, we show that the category of such Λ-rings is described in a Galois-theoretic way in terms of the monoid of pro-finite integers under multiplication and the cyclotomic character. We also study the maximality of these integral models and give a more precise, integral version of the result above. These results reveal an interesting relation between Λ-rings and the class field theory.
- Subjects
GALOIS theory; INTEGRAL equations; RIEMANN-Roch theorems; RATIONAL numbers; CYCLOTOMIC fields; CLASS field theory
- Publication
Bulletin of the London Mathematical Society, 2008, Vol 40, Issue 3, p439
- ISSN
0024-6093
- Publication type
Article
- DOI
10.1112/blms/bdn024