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.
General
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