Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- 1 Special Values of the Riemann Zeta Function: Some Results and Conjectures
- 2 K-theoretic Background
- 3 Values of the Riemann Zeta Function at the Odd Positive Integers and Iwasawa Theory
- 4 Explicit Reciprocity Law of Bloch–Kato and Exponential Maps
- 5 The Norm Residue Theorem and the Quillen-Lichtenbaum Conjecture
- 6 Regulators and Zeta-functions
- 7 Soulé's Theorem
- 8 Soulé's Regulator Map
- 9 On the Determinantal Approach to the Tamagawa Number Conjecture
- 10 Motivic Polylogarithm and Related Classes
- 11 The Comparison Theorem for the Soulé–Deligne Classes
- 12 Eisenstein Classes, Elliptic Soulé Elements and the ℓ-Adic Elliptic Polylogarithm
- 13 Postscript
- References
10 - Motivic Polylogarithm and Related Classes
Published online by Cambridge University Press: 05 March 2015
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Book contents
- Frontmatter
- Contents
- List of contributors
- Preface
- 1 Special Values of the Riemann Zeta Function: Some Results and Conjectures
- 2 K-theoretic Background
- 3 Values of the Riemann Zeta Function at the Odd Positive Integers and Iwasawa Theory
- 4 Explicit Reciprocity Law of Bloch–Kato and Exponential Maps
- 5 The Norm Residue Theorem and the Quillen-Lichtenbaum Conjecture
- 6 Regulators and Zeta-functions
- 7 Soulé's Theorem
- 8 Soulé's Regulator Map
- 9 On the Determinantal Approach to the Tamagawa Number Conjecture
- 10 Motivic Polylogarithm and Related Classes
- 11 The Comparison Theorem for the Soulé–Deligne Classes
- 12 Eisenstein Classes, Elliptic Soulé Elements and the ℓ-Adic Elliptic Polylogarithm
- 13 Postscript
- References
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- The Bloch–Kato Conjecture for the Riemann Zeta Function , pp. 193 - 209Publisher: Cambridge University PressPrint publication year: 2015
References
[BL94] , and 1994. The elliptic polylogarithm. Motives (Seattle, WA, 1991). Proc. Sympos. Pure Math., Part 2, 55, 123–190. Amer. Math. Soc., Providence, RI.
[Hu15] 2015. The Comparison Theorem for the Soulé-Deligne Classes, in The Bloch-Kato Conjecture for the Riemann Zeta Function, LMS Lecture Note Series 418. Cambridge University Press. 210–238.
[HK99b] , and 1999. Degeneration of l-adic Eisenstein classes and of the elliptic polylog. Invent. Math., 135, no. 3, 545–594.Google Scholar
[Ki99] 1999. K-theory elements for the polylogarithm of abelian schemes. J. Reine Angew. Math., 517, 103–116.Google Scholar
[Ki15] 2015. Eisenstein classes, elliptic Soulé elements and the ℓ-adic elliptic polylogarithm, in The Bloch-Kato Conjecture for the Riemann Zeta Function, LMS Lecture Note Series 418. Cambridge University Press. 239–296.
[Sc88] 1988. Introduction to the Beilinson Conjectures. Beilinsons's Conjectures on Special Values of L-Functions. Perspectives in Mathematics, 4, 1–35, Academic Press, San Diego.
[Su15] 2015. K-theoretic Background, in The Bloch-Kato Conjecture for the Riemann Zeta Function, LMS Lecture Note Series 418. Cambridge University Press. 22–44.
[Wi02] 2002. On the Eisenstein symbol. Motives, polylogarithms and Hodge theory, Part I (Irvine, CA, 1998). Int. Press Lect. Ser., 3, 291–414, I, Int. Press, Somerville, MA.
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