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math.NT2025
Infinitely many primes of basic reduction for some abelian fourfolds
Wanlin Li, Elena Mantovan, Rachel Pries +1
If is an elliptic curve, defined over or a number field having at least one real embedding, then Elkies proved that has supersingular reduction at infinitely m…
math.NT2025
Positive density of primes of ordinary reduction for abelian varieties of simple signature
Victoria Cantoral Farfán, Wanlin Li, Elena Mantovan +2
By a result of Serre, if is an elliptic curve without CM defined over a number field , then the set of primes of for which has ordinary reduction has density . Ka…