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Pré-Publication, Document De Travail Année : 2023

On the conductor of Ciani plane quartics

Résumé

In this paper we determine the conductor exponent of non-special Ciani quartics at primes of potentially good reduction in terms of the Ciani invariants. As an intermediate step in order to do so, we provide a reconstruction algorithm to construct Ciani quartics with given invariants. We also discuss how to descend the provided model to be defined over the same field as the invariants.

Dates et versions

hal-04373515 , version 1 (05-01-2024)

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Irene Bouw, Nirvana Coppola, Elisa Lorenzo García, Anna Somoza. On the conductor of Ciani plane quartics. 2024. ⟨hal-04373515⟩
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