The Abel Jacobi map for Mumford Curves via Integration

Iago Giné; Xavier Xarles

The Abel Jacobi map for Mumford Curves via Integration

Algebraic Geometry 2016-09-30 v1 Number Theory

Authors: Iago Giné , Xavier Xarles

Abstract

We construct the Abel-Jacobi map for Mumford curves over any complete non-archimedean field, using multiplicative integrals and in the setting of Berkovich analytic geometry. Along the way, we proof some results concerning graphs and mesures related to tropical geometry.

Keywords

Mumford curves Abel-Jacobi map non-archimedean field Berkovich analytic geometry multiplicative integrals tropical geometry

Cite

@article{arxiv.1609.09285,
  title  = {The Abel Jacobi map for Mumford Curves via Integration},
  author = {Iago Giné and Xavier Xarles},
  journal= {arXiv preprint arXiv:1609.09285},
  year   = {2016}
}

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49 pages

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