4 papers
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…
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…
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 torsi…
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…