Goncharov's relations in Bloch's higher Chow group CH^3(F,5)

Details Goncharov's relations in Bloch's higher Chow group CH^3(F,5) Goncharov's relations in Bloch's higher Chow group CH^3(F,5)

2001-05-10

arxiv.org/abs/math/0105084v2

J. Number Theory, 124 (2007), pp. 1-25.

Mathematics

Algebraic Geometry

16 pages. This is a simplified version

Scientific paper

10.1016/j.jnt.2006.05.006

Using Totaro-Bloch-Kriz's linear fractional cycles Gangl and Muller-Stach recently prove the 5-term relations for the dilogarithm in Bloch's higher Chow group CH^2(F,3) and the Kummer-Spence relations in some group G(F) over an arbitrary field F where G(F) is isomorphic to CH^3(F,5) up to torsions under the Beilinson-Soule vanishing conjecture that CH^2(F,n)=0 for n>3. In this paper we show that Goncharov's 22-term relations for the trilogarithm also hold in G(F).

Affiliated with

Also associated with

No associations

Rating

Goncharov's relations in Bloch's higher Chow group CH^3(F,5) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Goncharov's relations in Bloch's higher Chow group CH^3(F,5), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Goncharov's relations in Bloch's higher Chow group CH^3(F,5) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-244947