Generalized Albanese and its dual

Details Generalized Albanese and its dual Generalized Albanese and its dual

2006-06-10

arxiv.org/abs/math/0606250v3

J. Math. Kyoto Univ. 48-4 (2008), 907-949

Mathematics

Algebraic Geometry

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Scientific paper

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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