### On the conductor of Ciani plane quartics

Heilbronn Number Theory Seminar

14th February 2024, 4:00 pm – 5:00 pm

Fry Building, 4th Floor Seminar Room

(j.w.w. I. Bouw, N. Coppola and A. Somoza) In this talk we will discuss the determination of the conductor exponent of non-special Ciani quartics at primes of potentially good reduction in terms of their Ciani invariants. As an intermediate step, we will provide a reconstruction algorithm to construct Ciani quartics with given invariants.

During the talk we will consider many particular examples and extensions of the presented results.

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