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Rubin's conjecture on local units in the anticyclotomic tower at inert primes: $p=3$ case

Published 17 Jan 2024 in math.NT | (2401.09037v2)

Abstract: We prove Rubin's conjecture on the structure of local units in the anticyclotomic $\mathbb{Z}_p$-extension of unramified quadratic extension of $\mathbb{Q}_p$ in $p=3$ case by extending Burungale-Kobayashi-Ota's work.

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