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arxiv: 1906.04686 · v1 · pith:HNTCS6CYnew · submitted 2019-06-11 · 🧮 math.NT · math.KT

An alternative construction of equivariant Tamagawa numbers

classification 🧮 math.NT math.KT
keywords tamagawaequivariantformulationnumbersalternativeburns-flachcoefficientsconjecture
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We propose a new formulation of the equivariant Tamagawa number conjecture (ETNC) for non-commutative coefficients. We remove Picard groupoids, determinant functors, virtual objects and relative K-groups. Our Tamagawa numbers lie in an idele group instead of any kind of K-group. Our formulation is proven equivalent to the one of Burns-Flach.

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