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Euler systems. (English) Zbl 0742.14017
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 \(\mathbb{Q}\).

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