Download or read book Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 written by Nicholas M. Katz and published by Princeton University Press. This book was released on 2016-03-02 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is a comprehensive treatment of recent developments in the study of elliptic curves and their moduli spaces. The arithmetic study of the moduli spaces began with Jacobi's "Fundamenta Nova" in 1829, and the modern theory was erected by Eichler-Shimura, Igusa, and Deligne-Rapoport. In the past decade mathematicians have made further substantial progress in the field. This book gives a complete account of that progress, including not only the work of the authors, but also that of Deligne and Drinfeld.