On anticyclotomic μ-invariants of modular forms
By Robert H. Pollack, T. Weston. Compositio Mathematica, 2006
108 citations recorded by the source corpus.
Abstract We prove the μ-part of the main conjecture for modular forms along the anticyclotomic Zp-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.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/1ad88ab4163d5ab2aceb1ba97b497a8d060091e2
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In Algebra and Number Theory
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Citations in the corpus
- Iwasawa Main Conjecture for Supersingular Elliptic Curves (2014, background): “Note that the period used in [60] is Ωcan which, up to multiplying by a p-adic unit is ΩEΩ − E.”
- Selmer groups and the indivisibility of Heegner points (2014, unknown): “4 (Ribet–Takahashi [35], Khare [22], Pollack–Weston,[33]).”