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- W2963996907 abstract "Let p be a prime number, and let k be an imaginary quadratic number field in which p decomposes into two distinct primes 𝔭 and [Formula: see text]. Let k ∞ be the unique ℤ p -extension of k which is unramified outside of 𝔭, and let K ∞ be a finite extension of k ∞ , abelian over k. Following closely the ideas of Belliard in [1], we prove that in K ∞ , the projective limit of the p-class group and the projective limit of units modulo elliptic units share the same μ-invariant and the same λ-invariant. We deduce that a version of the classical main conjecture, which is known to be true for p ∉ {2, 3}, holds also for p ∈ {2, 3} once we neglect the μ-invariants." @default.
- W2963996907 created "2019-07-30" @default.
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- W2963996907 date "2012-04-07" @default.
- W2963996907 modified "2023-09-25" @default.
- W2963996907 title "GLOBAL UNITS MODULO ELLIPTIC UNITS AND IDEAL CLASS GROUPS" @default.
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- W2963996907 doi "https://doi.org/10.1142/s1793042112500315" @default.
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