2012/08/02 by Amnon Besser, Besser, Amnon, Rob de Jeu +1
Computer Science · Engineering · Mathematics · #11G55 #14F30 #14F42 #19E08 #19E20 (Secondary) #19F27 (Primary) 11G20 #Advanced Numerical Analysis Techniques #Algebraic Geometry and Number Theory #FOS: Mathematics #K-Theory and Homology (math.KT) #Number Theory (math.NT) #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1208.0516
openalex publication_date 2012/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let C be a curve defined over a discrete valuation field of characteristic zero where the residue field has positive characteristic. 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.