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The Rubin–Stark Conjecture for imaginary abelian fields of odd prime power conductor

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Abstract.

We build upon ideas developed in [9], as well as results of Greither on a strong form of Brumer’s Conjecture ([2]–[4]), and prove Rubin’s integral version of Stark’s Conjecture for imaginary abelian extensions of Q of odd prime power conductor.

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Authors and Affiliations

  1. Department of Mathematics, Johns Hopkins University, 3400 N, Charles Street, Baltimore, MD, 21218, USA

    Cristian D. Popescu

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  1. Cristian D. Popescu
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Correspondence to Cristian D. Popescu.

Additional information

Mathematics Subject Classification (1991): 11R42, 11R58, 11R27

Research on this project was partially supported by NSF grants DMS–9801267 and DMS–0196340

Revised version: 11 October 2002

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Popescu, C. The Rubin–Stark Conjecture for imaginary abelian fields of odd prime power conductor. Math. Ann. 330, 215–233 (2004). https://doi.org/10.1007/s00208-004-0546-x

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  • DOI: https://doi.org/10.1007/s00208-004-0546-x

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