An arithmetic intersection for squares of elliptic curves with complex multiplication

par Elisa Lorenzo García

jeudi 20 nov. 2025, 14:00 → 15:00 Europe/Paris

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.  

https://arxiv.org/abs/2412.08738