# Is there any publication of “Beilinson’s dream” on motivic (complexes of) sheaves?

In "Standard conjectures of algebraic cycles" nLab says:

"... They were also followed by “Beilinson’s dream” on motivic (complexes of) sheaves which comprise so called standard conjectures of Beilinson..."

Did Beilinson publish something of this work?

Which are the publications about this work?

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The relevant nLab entry which has further pointers is here: ncatlab.org/nlab/show/Beilinson+conjecture . A link to this was missing at "standard conjectures", but I have added it now, thanks for the alert. In general, if you have questions or comments on content of nLab entries (e.g. as in this case "is there a pointer to more information missing here?") then a good place to post them is the nForum, which is "the talk pages of the nLab" nforum.mathforge.org –  Urs Schreiber Jul 14 '14 at 14:36
Merci beaucoup ! –  user55909 Jul 14 '14 at 15:12
Possibly, you could be interested in my paper arxiv.org/abs/1105.0420 –  Mikhail Bondarko Jul 15 '14 at 8:26

## 1 Answer

Googling for "Beilinson Conjectures" turns up several good surveys, starting with this and this. These in turn will point you to the canonical sources: Soule's Bourbaki seminar, Ramakrishnan (Contemporary Mathematics 83) and the compendium of articles edited by Rapoport, Schappacher and Schneider.

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Maybe the three origiginal papers of Beilinson would deserve to be quoted as a reference: Higher regulators and values of L-functions', Journal of Soviet Mathematics 30 (1985), 2036-2070 and Higher regulators of curves', Funct. Anal . Appl. 14 (1980), 116-118 and `Height pairing between algebraic cycles' in K-Theory, Arithmetic and Geometry, Lecture Notes in Mathematics Volume 1289, 1987, pp 1-26. –  Denis-Charles Cisinski Jul 11 '14 at 21:01
@Denis-CharlesCisinski: I should of course have mentioned these, though back when I was struggling to understand this, I found Soule and Ramakrishnan easier to follow. Your mileage, of course, may vary. –  Steven Landsburg Jul 11 '14 at 22:38