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arXiv · 2401.06045

On natural complexes in Iwasawa theory

Antonio Mejías Gil·Andreas Nickel
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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 $\mathbb{Z}_p$-extension.

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Antonio Mejías Gil, Andreas Nickel. 2024-01-11. On natural complexes in Iwasawa theory. https://arxiv.org/abs/2401.06045

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