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Normal distribution of bad reduction
- Publication Year :
- 2023
-
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, $100\%$ of curves in these families have, in a precise sense, many such primes.<br />Comment: 12 pages, comments welcome
- Subjects :
- Mathematics - Number Theory
Mathematics - Algebraic Geometry
11G30, 60F05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2305.15874
- Document Type :
- Working Paper