N ov 2 00 3 Supplement to : Goncharov ’ s Relations in Bloch ’ s higher Chow
نویسنده
چکیده
In this supplement we prove the admissibility of all the cycles appearing in the paper Goncharov’s Relations in Bloch’s higher Chow Group CH3(F, 5). First let’s recall the following two Lemmas: Lemma 3.1. (Gangl-Müller-Stach) Let fi (i = 1, 2, 3, 5) be rational functions and f4(x, y) be a product of fractional linear transformations of the form (a1x+b1y+c1)/(a2x+b2y+c2). We assume that all the cycles in the lemma are admissible and write
منابع مشابه
m at h . A G ] 7 N ov 2 00 3 Goncharov ’ s Relations in Bloch ’ s higher Chow Group CH 3 ( F , 5 ) ∗
where Gn, denoted by Bn by Goncharov, is placed at degree 1. To save space we here only point out that Gn(F ) are quotient groups of Z[P 1 F ] and refer the interested readers to [G2, p.49] for the detailed definition of these groups. On the other hand, currently there are two versions of higher Chow groups available: simplicial and cubical, which are isomorphic (cf. [Le]). We will recall the c...
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