Year: 2023
Type: preprint
Abstract: We study the Weil representation $ρ$ of a curve over a $p$-adic field with potential reduction of compact type. We show that $ρ$ 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.
Source: arXiv (Cornell University)
Authors: Bouw, Irene I., Do, Duc Khoi, Wewers, Stefan
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4366328263