An alternative construction of equivariant Tamagawa numbers
Number Theory
2019-06-12 v1 K-Theory and Homology
Abstract
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.
Keywords
Cite
@article{arxiv.1906.04686,
title = {An alternative construction of equivariant Tamagawa numbers},
author = {Oliver Braunling},
journal= {arXiv preprint arXiv:1906.04686},
year = {2019}
}