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arxiv: 1610.08684 · v3 · pith:A744BQ22new · submitted 2016-10-27 · 🧮 math.QA · math.AG

Formal Abel-Jacobi maps

classification 🧮 math.QA math.AG
keywords abel-jacobiformalmorphismalgebrascarriedcategoryclassicalconstruction
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We realize the infinitesimal Abel-Jacobi map as a morphism of formal deformation theories, realized as a morphism in the homotopy category of differential graded Lie algebras. The whole construction is carried out in a general setting, of which the classical Abel-Jacobi map is a special example.

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