Goncharov's five-term generation conjecture for the Bloch relations
Let be a field and let be the subgroup of the relevant free abelian group generated by functional relations in weight two. For , write for the five-term relation, using the conventions and , among others. Goncharov's five-term generation conjecture. The group is the subgroup generated by the elements , where . This would identify all weight-two relations with the classical five-term relations and yield the expected comparison with the classical Bloch group, modulo the torsion qualifications stated in the paper.
References
Primary source
Christian K. Zickert, “Holomorphic polylogarithms and Bloch complexes”, arXiv:1902.03971 (2023).
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