Cristiana Bertolin

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20192026

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math.NT2026

Algebraic independence of the exponential and Weierstrass $℘$ -functions

Cristiana Bertolin

Let $Ω$ be a lattice in $C$ with algebraic invariants and complex multiplication, let $E$ be the elliptic curve associated with $Ω$ , and let $℘$ be the Weierst…

math.NT2025

A conjecture in Schanuel style for 1-motives

Cristiana Bertolin

Schanuel Conjecture contains all ``reasonable" statements that can be made on the values of the exponential function. In particular it implies the Lindemann-Weierstrass Theorem. In…

math.NT2025

Variations on Schanuel's Conjecture for elliptic and quasi-elliptic functions I: the split case

Cristiana Bertolin, Michel Waldschmidt

It is expected that Schanuel's Conjecture contains all ``reasonable" statements that can be made on the values of {\em the exponential function}. In particular it implies the Linde…

math.NT2019

Third kind elliptic integrals and 1-motives

Cristiana Bertolin

In our PH.D. thesis we have showed that the Generalized Grothendieck's Conjecture of Periods applied to 1-motives, whose underlying semi-abelian variety is a product of elliptic cu…

Algebraic independence of the exponential and Weierstrass ℘-functions

A conjecture in Schanuel style for 1-motives

Variations on Schanuel's Conjecture for elliptic and quasi-elliptic functions I: the split case

Third kind elliptic integrals and 1-motives

Algebraic independence of the exponential and Weierstrass $℘$ -functions