English

Abel maps for curves of compact type

Algebraic Geometry 2009-04-02 v1

Abstract

Recently, the first Abel map for a stable curve of genus g>1 has been constructed. Fix an integer d>0 and let C be a stable curve of compact type of genus g>1. We construct two d-th Abel maps for C, having different targets, and we compare the fibers of the two maps. As an application, we get a characterization of hyperelliptic stable curves of compact type with two components via the 2-nd Abel map.

Keywords

Cite

@article{arxiv.0904.0039,
  title  = {Abel maps for curves of compact type},
  author = {Juliana Coelho and Marco Pacini},
  journal= {arXiv preprint arXiv:0904.0039},
  year   = {2009}
}

Comments

20 pages

R2 v1 2026-06-21T12:46:51.284Z