Francesc Fit'e

activity

20102021

most citedSato-Tate distributions and Galois endomorphism modules in genus 2

92 citations · 177 across the 15 of their papers we have counts for

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Showing 2021Show all

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math.NT2021

On a local-global principle for quadratic twists of abelian varieties

Francesc Fité

Let $A$ and $A^{'}$ be abelian varieties defined over a number field $k$ of dimension $g \geq 1$ . For $g \leq 3$ , we show that the following local-global principle holds: $A$ and $A^{'}$ a…

math.NT2021★ 6 cited

Sato-Tate groups of abelian threefolds

Francesc Fité, Kiran S. Kedlaya, Andrew V. Sutherland

Given an abelian variety over a number field, its Sato-Tate group is a compact Lie group which conjecturally controls the distribution of Euler factors of the L-function of the abe…