Goncharov's five-term generation conjecture for the Bloch relations
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.
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Primary source
Christian K. Zickert, “Holomorphic polylogarithms and Bloch complexes”, arXiv:1902.03971 (2023).
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