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- Autorinnen/Autoren:
- Johnston, Henri; Nickel, Andreas
- Dokumenttyp:
- Zeitschriftenartikel / Journal Article
- Titel:
- An unconditional proof of the abelian equivariant Iwasawa main conjecture and applications
- Zeitschrift:
- American Journal of Mathematics
- Jahrgang:
- 148
- Heftnummer:
- 2
- Jahr:
- 2026
- Seitenbereich:
- 389-442
- Sprache:
- 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 zum Inhalt:
- https://doi.org/10.1353/ajm.2026.a986596
- Fakultät:
- Fakultät für Informatik
- Institut:
- INF 1 - Institut für Theoretische Informatik, Mathematik und Operations Research
- Professorin/Professor:
- Nickel, Andreas
- Open Access:
- Nein / No
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