TL;DR
This paper introduces a new construction of tensor products involving 1-motives and motives of weight 0, providing explicit descriptions of the underlying 1-motive for certain quotients.
Contribution
It defines the tensor product of 1-motives with motives of weight 0 and explicitly constructs the associated 1-motive for a specific quotient.
Findings
Explicit construction of tensor products of 1-motives with motives of weight 0
Description of the 1-motive underlying a specific quotient of tensor products
Advancement in understanding the structure of motives in algebraic geometry
Abstract
We define the tensor product of 1-motives with motives of weight 0 and we construct explicitely the 1-motive underlying the quotient M_1 \otimes M_2 / W_{-3}(M_1 \otimes M_2).
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Taxonomy
TopicsAdvanced Algebra and Geometry · Finite Group Theory Research · Homotopy and Cohomology in Algebraic Topology