Potential Sha for abelian varieties
classification
🧮 math.NT
keywords
abelianvarietyconstantdegreedependingdimensionextensionsfield
read the original abstract
We show that the p-torsion in the Tate-Shafarevich group of any principally polarized abelian variety over a number field is unbounded as one ranges over extensions of degree O(p), the implied constant depending only on the dimension of the abelian variety.
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