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math.NT2026
Rational torsion on simple genus two Jacobians
Jennifer S. Balakrishnan, Filip Najman, Ari Shnidman +1
We exhibit new subgroups of rational torsion points in geometrically simple Jacobians of genus-two curves over . The largest group, which has order 96 and invariants [2,…
math.NT2026
Abelian surfaces of small conductor from genus 3 double covers
Raymond van Bommel, Céline Maistret, Jia Shi +1
We describe the construction of a database of roughly half a million abelian surfaces over Q of small conductor arising as Pryms associated to a genus 3 double cover of a genus 1 c…