£138.60

Springer Modular Units: 244 - Mathematical Sciences Book

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Description

Explore advanced mathematical theory with Modular Units: 244, part of the Grundlehren der mathematischen Wissenschaften series by Springer. This academic text provides a comprehensive compilation of the basic theory regarding units and the cuspidal divisor class group within modular function fields. Developed through recent research, the content examines the relationship between the upper half plane and the subgroup of SL(Z) consisting of matrices congruent to 1 mod N. The book details the complex analytic isomorphism of r(N)\H to the affine curve YeN), and discusses the compactification known as the modular curve X(N). Readers will find detailed analysis of the affine ring of regular functions on YeN) over C, including its role as the integral closure of C[j] in the function field of X(N) over C, where j represents the classical modular function. This volume serves as a specialized resource for mathematicians studying complex analysis and modular functions.

Key Features

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

Detailed examination of the upper half plane and its relationship to the subgroup of SL(Z).

In-depth analysis of the complex analytic isomorphism involving the affine curve YeN).

In-depth study of the modular curve X(N) and its compactification processes.

Technical exploration of the affine ring of regular functions on YeN) over C.

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

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
01 December 2010
Listed Since
06 July 2010

Barcode

No barcode data available

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