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math.AG2023
A database of basic numerical invariants of Hilbert modular surfaces
Eran Assaf, Angelica Babei, Ben Breen +8
We describe algorithms for computing geometric invariants for Hilbert modular surfaces, and we report on their implementation.
math.AG2020★ 4 cited
Degree and height estimates for modular equations on PEL Shimura varieties
Jean Kieffer
We define modular equations in the setting of PEL Shimura varieties as equations describing Hecke correspondences, and prove upper bounds on their degrees and heights. This extends…
math.AG2020★ 2 cited
Computing isogenies from modular equations in genus two
Jean Kieffer, Aurel Page, Damien Robert
We present an algorithm solving the following problem: given two genus 2 curves over a field k with isogenous Jacobians, compute such an isogeny explicitly. This isogeny can be eit…