Abstract
We construct Laumon-1-motives \({{\rm Pic}^+_a(X), {\rm Alb}^-_a(X), {\rm Pic}^-_a(X)}\), and \({{\rm Alb}^+_a(X)}\) associated to an algebraic variety X with complete singular locus, whose associated étale (Deligne-)1-motives coincide with Picard and Albanese motives constructed by Barbieri Viale and Srinivas.
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Lekaus, S. On Albanese and Picard 1-motives with \({\mathbb{G}_a}\) -factors. manuscripta math. 130, 495–522 (2009). https://doi.org/10.1007/s00229-009-0299-7
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DOI: https://doi.org/10.1007/s00229-009-0299-7