On anticyclotomic <i>μ</i>-invariants of modular forms

Robert Pollack, Tom Weston

Type: Article

Publication Date: 2011-07-27

Citations: 61

DOI: https://doi.org/10.1112/s0010437x11005318

Abstract

Abstract We prove the μ -part of the main conjecture for modular forms along the anticyclotomic Z p -extension of a quadratic imaginary field. Our proof consists of first giving an explicit formula for the algebraic μ -invariant, and then using results of Ribet and Takahashi showing that our formula agrees with Vatsal’s formula for the analytic μ -invariant.

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Compositio Mathematica - View - PDF

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+	À propos de la conjecture de Manin pour les courbes elliptiques modulaires	1996	Ahmed Abbes Emmanuel Ullmo
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