Parshin, A. N. 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]. Reviewer: V. N. Saliĭ (Saratov) Cited in 2 Documents MSC: 01A60 History of mathematics in the 20th century 01A72 Schools of mathematics 14-03 History of algebraic geometry Keywords:algebraic geometry; reciprocity law; arithmetical surfaces; Arakelov’s theory PDFBibTeX XMLCite \textit{A. N. Parshin}, in: Mathematical events of the twentieth century. Transl. from the Russian. Berlin: Springer; Moscow: PHASIS. 297--329 (2006; Zbl 1119.01018) Full Text: arXiv