English

Degenerate abelian function fields

Algebraic Geometry 2019-05-21 v1 Complex Variables

Abstract

Originally, an abelian function field is the field of meromorphic functions on the Jacobi variety J(X) of a compact Riemann surface X. It is generated by the fundamental abelian functions belonging to the meromorphic function field on X. We study this relation for singular curves.

Keywords

Cite

@article{arxiv.1905.07872,
  title  = {Degenerate abelian function fields},
  author = {Yukitaka Abe},
  journal= {arXiv preprint arXiv:1905.07872},
  year   = {2019}
}
R2 v1 2026-06-23T09:12:30.855Z