Biextensions of 1-motives in Voevodsky's category of motives
Cristiana Bertolin, Carlo Mazza

TL;DR
This paper demonstrates that biextensions of 1-motives correspond to multilinear morphisms within Voevodsky's category of motives, establishing a new link between these concepts in algebraic geometry.
Contribution
It proves that biextensions of 1-motives induce multilinear morphisms in Voevodsky's triangulated category, connecting biextensions with the structure of motives.
Findings
Biextensions define multilinear morphisms in Voevodsky's motives
Establishes a new relationship between 1-motives and Voevodsky's category
Advances understanding of the structure of motives in algebraic geometry
Abstract
Let k be a perfect field. In this paper we prove that biextensions of 1-motives define multilinear morphisms between 1-motives in Voevodsky's triangulated category of effective geometrical motives over k with rational coefficients.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Algebra and Geometry
