English

Description of generalized Albanese varieties by curves

Algebraic Geometry 2011-06-16 v1

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.

Keywords

Cite

@article{arxiv.1106.2859,
  title  = {Description of generalized Albanese varieties by curves},
  author = {Henrik Russell},
  journal= {arXiv preprint arXiv:1106.2859},
  year   = {2011}
}

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15 pages