@article{c7f7dcb23e46428b8780625ceadc757d,
title = "Hyperbolic tessellations and generators of K 3 for imaginary quadratic fields",
abstract = "We develop methods for constructing explicit generators, modulo torsion, of the K3 -groups of imaginary quadratic number fields. These methods are based on either tessellations of hyperbolic 3 -space or on direct calculations in suitable pre-Bloch groups and lead to the very first proven examples of explicit generators, modulo torsion, of any infinite K3 -group of a number field. As part of this approach, we make several improvements to the theory of Bloch groups for K3 of any field, predict the precise power of 2 that should occur in the Lichtenbaum conjecture at −1 and prove that this prediction is valid for all abelian number fields.",
author = "David Burns and Jeu, {Rob de} and Herbert Gangl and Rahm, {Alexander D.} and Dan Yasaki",
year = "2021",
doi = "10.1017/fms.2021.9",
language = "English",
volume = "9",
pages = "1--47",
journal = "Forum of Mathematics, Sigma",
issn = "2050-5094",
publisher = "Cambridge University Press",
}