Séminaire d'arithmétique à Lyon
An arithmetic intersection for squares of elliptic curves with complex multiplication
par
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Europe/Paris
Description
In this talk I will show you an algorithm to compute the primes of bad reduction (together with their exponent at the discriminant) of curves of genus 2 whose jacobian are isomorphic to the square of an elliptic curve with CM. The main ingredient is the Refined Humber Invariant by Kani and formulas by Gross-Keating and Kudla-Rapoport.