Normal distribution of bad reduction
Number Theory
2023-05-26 v1 Algebraic Geometry
Abstract
We prove normal distribution laws for primes of bad semistable reduction in families of curves. As a consequence, we deduce that when ordered by height, of curves in these families have, in a precise sense, many such primes.
Cite
@article{arxiv.2305.15874,
title = {Normal distribution of bad reduction},
author = {Robert J. Lemke Oliver and Daniel Loughran and Ari Shnidman},
journal= {arXiv preprint arXiv:2305.15874},
year = {2023}
}
Comments
12 pages, comments welcome