Euler systems. (English) Zbl 0742.14017

Kolyvagin, V. A.

The Grothendieck Festschrift, Collect. Artic. in Honor of the 60th Birthday of A. Grothendieck. Vol. II, Prog. Math. 87, 435-483 (1990).

[For the entire collection see Zbl 0717.00009.]
The aim of the paper under review is to develop a theory of Euler systems and to apply it to the study of the structure of the class groups of algebraic number fields, and of the Mordell-Weil groups and the Shafarevich-Tate groups of Weil curves over \(\mathbb{Q}\).

Reviewer: L.Bădescu (Bucureşti)

MSC:

14G05	Rational points
11R29	Class numbers, class groups, discriminants
14H25	Arithmetic ground fields for curves

Keywords:

Euler systems; class groups; Mordell-Weil groups; Shafarevich-Tate groups of Weil curves

Citations:

Zbl 0717.00009