We start computing the periods and the dimension of the motivic Galois group of 1-motives. Then we apply Grothendieck period conjecture to 1-motives and we will see some consequences of this conjecture.

Prep material:

- Périodes de 1-motifs et transcendence

J. Number Theory 97 (2002), no. 2, pp. 204--221.

http://www.fields.utoronto.ca/sites/default/files/uploads/JournalOfNumbe...

- (with an appendix by M. Waldschmidt and a letter of Y. André) Third kind elliptic integrals and 1-motives

J. Pure Appl. Algebra 224 (2020), no.10, 106396, 28 pp.

http://www.fields.utoronto.ca/sites/default/files/uploads/JPAA.pdf