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The syntomic
regulator for K4 of curves
Amnon Besser and Rob de Jeu |
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Vol. 260 (2012), No. 2, 305–380
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Abstract |
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Let C be a curve defined over a complete discrete valuation subfield of ℂp. Assuming that C has good reduction over the residue field, we compute the syntomic regulator on a certain part of K4(3)(C). The result can be expressed in terms of p-adic polylogarithms and Coleman integration. We also compute the syntomic regulator on a certain part of K4(3)(F) for the function field F of C. The result can be expressed in terms of p-adic polylogarithms and Coleman integration, or by using a trilinear map (“triple index”) on certain functions. |
Keywords
algebraic K-theory, syntomic regulator, p-adic
polylogarithm
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Mathematical Subject Classification 2010
Primary: 11G55, 14F42, 19E08, 19F27
Secondary: 11G20, 14F30, 19E20
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Milestones
Received: 21 July 2012
Accepted: 4 October 2012
Published: 30 November 2012
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Authors |
| Amnon Besser | |
| Department of Mathematics Ben-Gurion University of the Negev P.O.B. 653 84105 Be’er-Sheva Israel |
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| http://www.math.bgu.ac.il/~bessera/ | |
| Rob de Jeu | |
| Faculteit der Exacte Wetenschappen,
Afdeling Wiskunde VU University Amsterdam De Boelelaan 1081a 1081 HV Amsterdam Netherlands |
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| http://www.few.vu.nl/~jeu/ | |
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