English

Quotients of Jacobians

Algebraic Geometry 2024-07-02 v1

Abstract

We prove that the quotient of Jacobian of a curve whose genus is greater than or equal to 5 under the action of a finite group acting on the curve is never uniruled, and classify all curves of genus 3 and 4 whose quotients of Jacobian is uniruled.

Keywords

Cite

@article{arxiv.2407.00860,
  title  = {Quotients of Jacobians},
  author = {Raisa Serova},
  journal= {arXiv preprint arXiv:2407.00860},
  year   = {2024}
}