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math.NT2026
Uniform boundedness of small points on abelian varieties over function fields
Nicole Looper, Jit Wu Yap
Let be a field of characteristic and let be the function field of a geometrically irreducible projective curve over . Let be a -dimensional abeli…
math.NT2026
Integral torsion points on abelian varieties over function fields
Robin de Jong, Nicole Looper, Farbod Shokrieh
We prove an analogue, over global function fields, of a conjecture due to Su-Ion Ih concerning the non-Zariski density of torsion points on abelian varieties that are integral with…