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- Authors:
- Johnston, Henri; Nickel, Andreas
- Document type:
- Zeitschriftenartikel / Journal Article
- Title:
- An unconditional proof of the abelian equivariant Iwasawa main conjecture and applications
- Journal:
- American Journal of Mathematics
- Volume:
- 148
- Issue:
- 2
- Year:
- 2026
- Pages from - to:
- 389-442
- Language:
- Englisch
- Abstract:
- Let $p$ be an odd prime. We give an unconditional proof of the equivariant Iwasawa main conjecture for totally real fields for every admissible one-dimensional $p$-adic Lie extension whose Galois group has an abelian Sylow $p$-subgroup. Crucially, this result does not depend on the vanishing of any $\mu$-invariant. As applications, we deduce the Coates--Sinnott conjecture away from its $2$-primary part and new cases of the equivariant Tamagawa number conjecture for Tate motives.
- DOI:
- 10.1353/ajm.2026.a986596
- URL:
- https://doi.org/10.1353/ajm.2026.a986596
- Department:
- Fakultät für Informatik
- Institute:
- INF 1 - Institut für Theoretische Informatik, Mathematik und Operations Research
- Chair:
- Nickel, Andreas
- Open Access yes or no?:
- Nein / No
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