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.