TL;DR
This paper presents a counterexample challenging a previous proof regarding the existence of linear representatives of higher Chow groups in number fields, highlighting a gap in the existing mathematical literature.
Contribution
It provides a counterexample that refutes a prior proof about linear representatives of higher Chow groups in number fields.
Findings
Counterexample disproves previous proof
Challenges assumptions in higher Chow group theory
Highlights need for revised proofs or theories
Abstract
We give a counterexample to the proof in the literature [K-Theory 25 (2002), 215-231] of the existence of linear representatives of higher Chow groups of number fields.
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Taxonomy
TopicsFinite Group Theory Research · Advanced Algebra and Geometry · Geometric and Algebraic Topology