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Numbers as functions: the development of an idea in the Moscow school of algebraic geometry. (English) Zbl 1119.01018

Bolibruch, A.A. (ed.) et al., Mathematical events of the twentieth century. Transl. from the Russian. Berlin: Springer; Moscow: PHASIS (ISBN 3-540-23235-4/hbk). 297-329 (2006).
The paper is written on the base of a lecture by the author at the conference on the history of mathematics which took place in Nice in January 1996. It presents one area in the development of arithmetical algebraic geometry in Moscow during the 1950s and 1960s. As main protagonists appear I. R. Shafarevich, A. I. Lapin, and S. Yu. Arakelov. Bibl. 56 items.
For the entire collection see [Zbl 1072.01002].

MSC:

01A60 History of mathematics in the 20th century
01A72 Schools of mathematics
14-03 History of algebraic geometry
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