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arXiv · 2304.08329

Computing the Weil representation of a superelliptic curve

Irene I. Bouw·Duc Khoi Do·Stefan Wewers
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Abstract

We study the Weil representation $\rho$ of a curve over a $p$-adic field with potential reduction of compact type. We show that $\rho$ can be reconstructed from its stable reduction. For superelliptic curves of the form $y^n=f(x)$ at primes $p$ whose residue characteristic is prime to the exponent $n$ we make this explicit.

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Irene I. Bouw, Duc Khoi Do, Stefan Wewers. 2023-04-17. Computing the Weil representation of a superelliptic curve. https://arxiv.org/abs/2304.08329

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