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arXiv:2305.15874 [math.NT]AbstractReferencesReviewsResources

Normal distribution of bad reduction

Robert J. Lemke Oliver, Daniel Loughran, Ari Shnidman

Published 2023-05-25Version 1

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, $100\%$ of curves in these families have, in a precise sense, many such primes.

Comments: 12 pages, comments welcome
Categories: math.NT, math.AG
Subjects: 11G30, 60F05
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