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arxiv: 1609.09285 · v1 · pith:ZR6BDNJLnew · submitted 2016-09-29 · 🧮 math.AG · math.NT

The Abel Jacobi map for Mumford Curves via Integration

classification 🧮 math.AG math.NT
keywords curvesgeometrymumfordabelabel-jacobialonganalyticberkovich
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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.

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