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math.AG2026
Frobenius lifts and point counting for smooth curves
Amnon Besser, Rob de Jeu, Pengju Guan +1
We describe an algorithm for computing the zeta function of a proper, smooth curve over a finite field of characteristic , when the curve is given together with some auxilia…
math.NT2026
The 2-part of the Bloch-Kato conjecture, and indivisibility results, for of some elliptic curves
Neil Dummigan, Vasily Golyshev, Rob de Jeu +1
For certain integers , we investigate the 2-part of the Bloch-Kato conjecture for , where is part of a (twisted) Legendre family that is 2-iso…