2026/07/22 by Luca Mauri
#math.AG #math.NT
We classify all automorphism groups of smooth, projective, connected curves over an algebraically closed field of characteristic 0 with simple Jacobians. For every nontrivial group in this classification, we construct a family of curves with that automorphism group and prove that a density-one set of members has simple Jacobian. These families yield infinitely many new examples of unlikely intersections in the moduli spaces of principally polarized abelian varieties.