Geodesic
The equivariant Tamagawa number conjecture for abelian extensions of imaginary quadratic fields
Documenta mathematica, Tome 28 (2023) no. 2, pp. 369-418

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We prove the Iwasawa-theoretic version of a conjecture of Mazur–Rubin and Sano in the case of elliptic units. This allows us to derive the p-part of the equivariant Tamagawa number conjecture at s = 0 for abelian extensions of imaginary quadratic fields in the semi-simple case and, provided that a standard μ-vanishing hypothesis is satisfied, also in the general case.
DOI : 10.4171/dm/907
Classification : 11R42, 11R23, 11R29
Mots-clés : L-series, Iwasawa theory 
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     title = {The equivariant {Tamagawa} number conjecture for abelian extensions of imaginary quadratic fields},
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Dominik Bullach; Martin Hofer. The equivariant Tamagawa number conjecture for abelian extensions of imaginary quadratic fields. Documenta mathematica, Tome 28 (2023) no. 2, pp. 369-418. doi: 10.4171/dm/907

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