Integral Regulators for Higher Chow Complexes

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dc.contributor.authorLi, M.
dc.date.accessioned2025-11-27T14:47:24Z
dc.date.issued2018
dc.description.abstractBuilding on Kerr, Lewis, and Müller-Stach's work on the rational regulator, we prove the existence of an integral regulator on higher Chow complexes and give an explicit expression. This puts firm ground under some earlier results and speculations on the torsion in higher cycle groups by Kerr-Lewis-Müller-Stach, Petras, and Kerr-Yang.
dc.description.sponsorshipThis work was supported by the National Science Foundation [DMS-1361147; PI: Matt Kerr]. The author would like to thank his advisor, Matt Kerr, for his great help and discussions, J. McCarthy for graciously supplying the counterexample in Section 3, J. Lewis for his interest in this work, and the referee for their great help on improving the exposition.
dc.identifier.citationIntegral Regulators for Higher Chow Complexes / M. Li // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 11 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2018.118
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 14C15; 14C25; 19F27
dc.identifier.otherarXiv: 1805.04646
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/209839
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleIntegral Regulators for Higher Chow Complexes
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2018, том 14, випуск за цей рік