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math.AG2024
The section conjecture for the toric fundamental group over -adic fields
Giulio Bresciani
Loosely speaking, the toric fundamental group is the Tannaka dual of a category of vector bundles which become direct sums of line bundles on a finite étale cover. In characteristi…
math.NT2024
Fields of definition of dynamical systems on . Improvements on a result of Silverman
Giulio Bresciani
J. Silverman proved that a dynamical system on descends to the field of moduli if it is polynomial or it has even degree, but for non-polynomial ones of odd degree…
math.NT2024★ 1 cited
Uniform bounds for fields of definition in projective spaces
Giulio Bresciani
We give a positive answer to a question of J. Doyle and J. Silverman about fields of definition of dynamical systems on . We prove that, for fixed , there exists…