Motives for an elliptic curve

2017/08/27 by Jin Cao, Cao, Jin
Engineering · Mathematics · #14C25 #19E15 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.1708.08092

openalex publication_date 2017/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Mixed motives and quotient stacks: Abelian varieties
• Relative DGA and mixed elliptic motives

Cited by

• On the Beilinson-Bloch conjecture over function fields

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• The motivic fundamental group of a punctured elliptic curve and algebraic cycles
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