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math.NT2023
The Frobenius twists of elliptic curves over global function fields
Ki-Seng Tan
For an elliptic curve A defined over a global function field K of characteristic p>0, the p-Selmer group of the Frobenius twist of A tends to have larger order than that of A. The…
math.NT2023
The -invariant change for abelian varieties over finite -extensions of global fields
Ki-Seng Tan, Fabien Trihan, Kwok-Wing Tsoi
We extend the work of Lai, Longhi, Suzuki, the first two authors and study the change of -invariants, with respect to a finite Galois p-extension , of an ordinary abelian…