On natural complexes in Iwasawa theory
Number Theory
2024-02-02 v2
Abstract
We consider two natural complexes that appear in recent formulations of equivariant Iwasawa main conjectures for extensions of not necessarily totally real fields. We show that both complexes are isomorphic in the derived category of Iwasawa modules if the weak Leopoldt conjecture holds for the relevant -extension.
Keywords
Cite
@article{arxiv.2401.06045,
title = {On natural complexes in Iwasawa theory},
author = {Antonio Mejías Gil and Andreas Nickel},
journal= {arXiv preprint arXiv:2401.06045},
year = {2024}
}
Comments
12 pages; v2 contains minor corrections. arXiv admin note: text overlap with arXiv:2211.03406