On the conductor of Ciani plane quartics
Number Theory
2023-10-17 v1
Abstract
In this paper we determine the conductor exponent of non-special Ciani quartics at primes of potentially good reduction in terms of the Ciani invariants. As an intermediate step in order to do so, we provide a reconstruction algorithm to construct Ciani quartics with given invariants. We also discuss how to descend the provided model to be defined over the same field as the invariants.
Keywords
Cite
@article{arxiv.2310.10416,
title = {On the conductor of Ciani plane quartics},
author = {Irene Bouw and Nirvana Coppola and Elisa Lorenzo García and Anna Somoza},
journal= {arXiv preprint arXiv:2310.10416},
year = {2023}
}