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Generalized Albanese and its dual

Henrik Russell
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Abstract

We consider categories of rational maps to algebraic groups and study existence and construction of universal objects for such categories, using the duality theory of Laumon 1-motives. In particular, we obtain functorial descriptions of the Albanese of a singular projective variety X over an algebraically closed field of characteristic zero, which is the universal regular quotient of a relative Chow group of points on X, and of its dual.

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Henrik Russell. 2009-05-25. Generalized Albanese and its dual. https://arxiv.org/abs/math/0606250

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