English

The trigonal construction in the ramified case

Algebraic Geometry 2019-02-04 v1

Abstract

To every double cover ramified in two points of a general trigonal curve of genus g, one can associate an \'etale double cover of a tetragonal curve of genus g+1. We show that the corresponding Prym varieties are canonically isomorphic as principally polarized abelian varieties.

Keywords

Cite

@article{arxiv.1902.00251,
  title  = {The trigonal construction in the ramified case},
  author = {Herbert Lange and Angela Ortega},
  journal= {arXiv preprint arXiv:1902.00251},
  year   = {2019}
}

Comments

14 pages

R2 v1 2026-06-23T07:29:11.513Z