Algebraic cycles and the triangulated category of mixed motives

TL;DR

This paper proposes a candidate for the t-structure on Voevodsky's triangulated category of mixed motives, aiming to advance the understanding of its structural properties.

Contribution

It introduces a specific candidate for the t-structure on the triangulated category of mixed motives, addressing a key open problem in the field.

Findings

Proposed a candidate t-structure for the category of mixed motives

Provided insights into the structural aspects of mixed motives

Contributed to the foundational understanding of motivic categories

Abstract

In this paper, we shall give a candidate for the t-structure on the triangulated category of mixed motives due to Voevodsky.