Relative DGA and mixed elliptic motives

Details Relative DGA and mixed elliptic motives Relative DGA and mixed elliptic motives

2010-10-19

arxiv.org/abs/1010.3791v3

Mathematics

Algebraic Geometry

Scientific paper

Bloch and Kriz construct an abelian category of mixed Tate motives as the category of comodules over a Hopf algebra obtained by the bar construction of the DGA of cycle complexes. In this paper we generalize their construction to give the definition of a category of mixed elliptic motives, i.e. a Tannakian category of mixed motives generated by an elliptic curve. We introduce the notion of a relative DGA over a reductive group. Then the category of mixed elliptic motives is defined as the category of comodules over the relative bar construction of a certain DGA $A_{EM}$ which is constructed from cycle complexes. The elliptic polylogarithm of Beilinson-Levin gives an interesting object in this category.

Affiliated with

Also associated with

No associations

Rating

Relative DGA and mixed elliptic motives 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 Relative DGA and mixed elliptic motives, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relative DGA and mixed elliptic motives will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-268101