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math.NT2026
Algebraic independence of the exponential and Weierstrass -functions
Cristiana Bertolin
Let be a lattice in with algebraic invariants and complex multiplication, let be the elliptic curve associated with , and let be the Weierst…
math.AG2026
Dimension of the motivic Galois group of a 1-motive
Cristiana Bertolin
We compute the dimension of the motivic Galois group of a 1-motive M defined over the field of complex numbers, expressing it explicitly in terms of the rank of the multiplicative…
math.AG2026
1-motives and admissible variations of mixed Hodge structures
Cristiana Bertolin
Let S be a connected scheme smooth and of finite type over the field of complex numbers. To every 1-motive over S, André associated the enriched Hodge realization given by a torsio…