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Springer Modular Units: 244 - Grundlehren der mathematischen Wissenschaften

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Description

Explore advanced mathematical theory with Modular Units: 244, part of the prestigious Grundlehren der mathematischen Wissenschaften series by Springer. This academic text provides a comprehensive synthesis of the basic theory regarding units and the cuspidal divisor class group within modular function fields. Developed from research conducted over recent years, this book covers essential concepts including the upper half plane and the subgroup r(N) of SL(Z) consisting of matrices congruent to 1 mod N. Readers will find detailed analysis of the complex analytic isomorphism between r(N)\i)2 and the affine curve YeN), as well as its compactification known as the modular curve X(N). This volume is an essential resource for mathematicians studying the integral closure of C[j] in the function field of X(N) over C, where j represents the classical modular function. It serves as a formal academic reference for those specializing in mathematical analysis and modular functions.

Key Features

Comprehensive theory on units and the cuspidal divisor class group in modular function fields.

Detailed examination of the upper half plane and the subgroup r(N) of SL(Z) for positive integers N.

In-depth analysis of the complex analytic isomorphism between r(N)\i)2 and the affine curve YeN).

Exploration of the modular curve X(N) through its compactification processes.

Academic focus on the integral closure of C[j] in the function field of X(N) over C.

Part of the respected Grundlehren der mathematischen Wissenschaften series by Springer.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
08 September 1981
Listed Since
12 January 2007

Barcode

No barcode data available

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