On torsion of class groups of CM tori

Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 (2012) On torsion of class groups of CM tori. Mathematika, 58 (2). pp. 305-318. ISSN 2041-7942 doi: 10.1112/S0025579312000022

Abstract/Summary

Let T be an algebraic torus over ℚ such that T(ℝ) is compact. Assuming the generalized Riemann hypothesis, we give a lower bound for the size of the class group of T modulo its n-torsion in terms of a small power of the discriminant of the splitting field of T. As a corollary, we obtain an upper bound on the n-torsion in that class group. This generalizes known results on the structure of class groups of complex multiplication fields.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/70356
Identification Number/DOI	10.1112/S0025579312000022
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Cambridge University Press
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