English

Computing the semistable reduction of a particular plane quartic curve at $p=3$

Number Theory 2023-05-02 v1 Algebraic Geometry

Abstract

We explain how to determine the semistable reduction of a particular plane quartic curve at p=3p=3 that appears in the attempts of Rouse, Sutherland, and Zureick-Brown to compute the rational points on the non-split Cartan modular curve Xns+(27)X^+_{ns}(27).

Keywords

Cite

@article{arxiv.2305.00288,
  title  = {Computing the semistable reduction of a particular plane quartic curve at $p=3$},
  author = {Ole Ossen},
  journal= {arXiv preprint arXiv:2305.00288},
  year   = {2023}
}

Comments

15 pages, 6 figures. Comments welcome!