Jacobiennes généralisées, monodromie unipotente et intégrales itérées. (Generalized Jacobians, unipotent monodromy and iterated integrals). (French) Zbl 0688.14036

Cartier, Pierre

Sémin. Bourbaki, 40ème Année, Vol. 1987/88, Exp. No. 687, Astérisque 161-162, 31-52 (1988).

[For the entire collection see Zbl 0659.00006.]
The author presents a survey on monodromy, iterated integrals and some of its applications. Chapter 1 and 2 contain classical definitions of monodromy and iterated integrals connected with a system of differential equations. - Chapter 3 is a brief exposé on Hodge theory. - Chapter 4, “Generalized Jacobians”, contains as an application of the introduced theoretical facts some results of K. T. Chen, K. Aomoto, T. Kohno, etc., concerning generalized Albanese varieties in the light of the preceding.

Reviewer: A.Iliev

MSC:

14K30

Picard schemes, higher Jacobians

Keywords:

Albanese varieties