Remarques sur les différentielles des polylogarithmes uniformes. (Remarks on the differentials of the uniform polylogarithms.)

DOI10.5802/aif.1551zbMath0861.19003OpenAlexW2032332222MaRDI QIDQ671231

Jean-Louis Cathelineau

Publication date: 27 February 1997

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1996__46_5_1327_0

zbMATH Keywords

functional equationsalgebraic \(K\)-theoryfunctional identitiestrilogarithmdifferentials of polylogarithmsGoncharov complexesuniform polylogarithms

Mathematics Subject Classification ID

(K)-theory of global fields (11R70) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Related Items

Infinitesimal and tangent to polylogarithmic complexes for higher weight, Infinitesimal cohomology and the Chern character to negative cyclic homology, Motivic cohomology, Infinitesimal dilogarithms, extensions and cohomology, The tangent complex to the Bloch-Suslin complex, Calculus of absolute Kähler forms and Milnor 𝐾-theory, Generalized geometry of Goncharov and con guration complexes, Tame kernels and second regulators of number fields and their subfields, An additive version of higher Chow groups, An extended version of additive K-theory, A Survey of the Additive Dilogarithm

Cites Work

• Scissors congruences. II
• \(\lambda\)-structures in algebraic \(K\)-theory and cyclic homology
• \(K_ 3\) of a field and the Bloch group
• Geometry of configurations, polylogarithms, and motivic cohomology
• A construction of analogs of the Bloch-Wigner function.
• The state of the second part of Hilbert’s fifth problem
• Sur l'homologie de $\mathrm{SL}_2$ a coefficients dans l'action adjointe.
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