3 citations · 4 across the 8 of their papers we have counts for
5 papers · 1 filter
On the relative K-group in the ETNC, Part III
Oliver Braunling
The previous papers in this series were restricted to regular orders. In particular, we could not handle integral group rings, one of the most interesting cases of the ETNC. We res…
An alternative construction of equivariant Tamagawa numbers
Oliver Braunling
We propose a new formulation of the equivariant Tamagawa number conjecture (ETNC) for non-commutative coefficients. We remove Picard groupoids, determinant functors, virtual object…
On the relative K-group in the ETNC, Part II
Oliver Braunling
In a previous paper we showed, under some assumptions, that the relative K-group in the Burns-Flach formulation of the equivariant Tamagawa number conjecture (ETNC) is canonically…
On the relative K-group in the ETNC
Oliver Braunling
We consider the Burns-Flach formulation of the equivariant Tamagawa number conjecture (ETNC). In their setup, a Tamagawa number is an element of a relative K-group. We show that th…
On the automorphic side of the K-theoretic Artin symbol
Peter Arndt, Oliver Braunling
Clausen has constructed a homotopical enrichment of the Artin reciprocity symbol in class field theory. On the Galois side, Selmer K-homology replaces the abelianized Galois group,…