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math.NT2024
On natural complexes in Iwasawa theory
Antonio Mejías Gil, Andreas Nickel
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 bot…
math.NT2022
A Main Conjecture in non-commutative Iwasawa theory
Antonio Mejías Gil
We formulate a new equivariant Main Conjecture in Iwasawa theory of number fields and study its properties. This is done for arbitrary one-dimensional -adic Lie extensions $L_\i…