Publication: Deformations of Bloch groups and Aomoto dilogarithms in characteristic p
dc.contributor.department | Department of Mathematics | |
dc.contributor.kuauthor | Ünver, Sinan | |
dc.contributor.schoolcollegeinstitute | College of Sciences | |
dc.date.accessioned | 2024-11-10T00:12:43Z | |
dc.date.issued | 2011 | |
dc.description.abstract | In this paper, we study the Bloch group B-2(F[epsilon](2)) over the ring of dual numbers of the algebraic closure of the field with p elements, for a prime p >= 5. We show that a slight modification of Kontsevich's 11/2-logarithm defines a function on B-2(F[epsilon](2)). Using this function and the characteristic p version of the additive dilogarithm function that we previously defined, we determine the structure of the infinitesimal part of B-2(Ff[epsilon](2)) completely. This enables us to define invariants on the group of deformations of Aomoto dilogarithms and determine its structure. This final result might be viewed as the analog of Hilbert's third problem in characteristic p. | |
dc.description.indexedby | WOS | |
dc.description.indexedby | Scopus | |
dc.description.issue | 8 | |
dc.description.openaccess | YES | |
dc.description.publisherscope | International | |
dc.description.sponsoredbyTubitakEu | N/A | |
dc.description.sponsorship | Deutsche Forschungsgemeinschaft [SFB/TR45] | |
dc.description.sponsorship | TUBITAK[109T674] The author thanks S. Bloch and H. Esnault for mathematical discussions, H. Esnault for the invitation to University of Duisburg-Essen, and the referee for many suggestions which improved the paper. The author was supported by SFB/TR45 of the Deutsche Forschungsgemeinschaft and 109T674 of TUBITAKwhile this paper was written. | |
dc.description.volume | 131 | |
dc.identifier.doi | 10.1016/j.jnt.2011.02.003 | |
dc.identifier.issn | 0022-314X | |
dc.identifier.quartile | Q2 | |
dc.identifier.scopus | 2-s2.0-79953869959 | |
dc.identifier.uri | https://doi.org/10.1016/j.jnt.2011.02.003 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14288/17700 | |
dc.identifier.wos | 290071000015 | |
dc.keywords | Polylogarithms | |
dc.keywords | Mixed tate motives | |
dc.keywords | Additive dilogarithms mixed tate motives | |
dc.keywords | Polylogarithms | |
dc.keywords | Cohomology | |
dc.language.iso | eng | |
dc.publisher | Academic Press Inc Elsevier Science | |
dc.relation.ispartof | Journal of Number Theory | |
dc.subject | Mathematics | |
dc.title | Deformations of Bloch groups and Aomoto dilogarithms in characteristic p | |
dc.type | Journal Article | |
dspace.entity.type | Publication | |
local.contributor.kuauthor | Ünver, Sinan | |
local.publication.orgunit1 | College of Sciences | |
local.publication.orgunit2 | Department of Mathematics | |
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