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arXiv · 1106.2859

Description of generalized Albanese varieties by curves

Henrik Russell
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Abstract

Let X be a projective variety over an algebraically closed base field, possibly singular. The aim of this paper is to show that the generalized Albanese variety of Esnault-Srinivas-Viehweg can be computed from one general curve C in X, if the base field is of characteristic 0. We illustrate this by an example, which we also use to unravel some mysterious properties of the Albanese of Esnault-Srinivas-Viehweg.

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Henrik Russell. 2011-06-15. Description of generalized Albanese varieties by curves. https://arxiv.org/abs/1106.2859

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