Wild conductor exponents of trigonal and tetragonal curves
We give an explicit formula for the wild conductor exponents at primes $\mathfrak{p}\nmid6$ of trigonal and tetragonal curves over number fields. In an appendix we resolve a minor issue in the literature on the $3$-torsion of genus 2 curves.
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | We give an explicit formula for the wild conductor exponents at primes
$\mathfrak{p}\nmid6$ of trigonal and tetragonal curves over number fields. In
an appendix we resolve a minor issue in the literature on the $3$-torsion of
genus 2 curves. |
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| DOI: | 10.48550/arxiv.2409.12688 |