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math.KT2024
Bounding generators for the kernel and cokernel of the tame symbol for curves
Rob de Jeu
Let be a regular, irreducible curve that is projective over a field. We obtain bounds in terms of the arithmetic genus of for the generators that are required for the coker…
math.NT2024
of families of elliptic curves over non-Abelian cubic and quartic fields
François Brunault, Rob de Jeu, Hang Liu +1
We give two constructions of families of elliptic curves over cubic or quartic fields with three, respectively four, `integral' elements in the kernel of the tame symbol on the cur…