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Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108
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Nicholas M. Katz
Language:
English
Published/Copyright:
1985
About this book
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.
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
March 2, 2016
eBook ISBN:
9781400881710
Pages and Images/Illustrations in book
Main content:
528
eBook ISBN:
9781400881710
Keywords for this book
Moduli space; Elliptic curve; Zariski topology; Coprime integers; Discrete valuation ring; Theorem; Commutative property; Riemann hypothesis; Arithmetic; Eigenfunction; Regularity theorem; Algebraic variety; Group (mathematics); Noetherian; Neighbourhood (mathematics); Algebraically closed field; Calculation; Modular curve; Prime number; Dimension; Diagram (category theory); Modular equation; Disjoint union; Field of fractions; Topology; Special case; Axiom; Representation theory; Factorization; Irreducible component; Morphism; Maximal ideal; Integer; Cyclic group; Prime factor; One-parameter group; Cokernel; Empty set; Abelian variety; Cusp form; Congruence relation; Finite group; Base change; Modular form; Subring; Coefficient; Local ring; Residue field; Finite field; Morphism of schemes; Subgroup; Canonical map; Functor; Coherent sheaf; Subset; Prime power; Dense set; Two-dimensional space; Divisor; Change of base; Closed immersion; Addition; Open problem; Free module; Level structure; Q.E.D.; Barry Mazur; Corollary; Finite morphism; Ambient space
Audience(s) for this book
College/higher education;Professional and scholarly;
