English

Formal Abel-Jacobi maps

Quantum Algebra 2018-06-20 v3 Algebraic Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.1610.08684,
  title  = {Formal Abel-Jacobi maps},
  author = {Domenico Fiorenza and Marco Manetti},
  journal= {arXiv preprint arXiv:1610.08684},
  year   = {2018}
}

Comments

V3 final version

R2 v1 2026-06-22T16:33:36.939Z