Motives for an elliptic curve

Abstract

In this paper we describe the category of motives for an elliptic curve in the sense of Voevodsky as a derived category of dg modules over a commutative differential graded algebra in the category of representations over some reductive group.

30 pages. Final version: Fix several gaps in the proofs. To appear in Mathematische Annalen

References in corpus (3)

• Tannaka duality and stable infinity-categories
• Relative DGA and mixed elliptic motives
• Differential graded algebras over some reductive group