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Springer Several Complex Variables VII - Math Reference Book

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Description

Expand your mathematical research with Several Complex Variables VII: Sheaf-Theoretical Methods in Complex Analysis. Part of the Encyclopaedia of Mathematical Sciences (Volume 74), this Springer publication provides a deep look into the transition from one complex variable to the study of several complex variables. Starting from the foundational concepts of Riemann surfaces, the text explores how the periods of integrals of abelian differentials on a compact surface of genus g attach a g-dimensional complex torus to X. It covers the complexities of moduli spaces, noting that when g > 2, the moduli space of X depends on 3g - 3 complex parameters. This volume is designed for advanced students and researchers working with complex manifolds, Hausdorff spaces, and holomorphic functions. By connecting complex tori and moduli spaces to local complex coordinates, this book serves as a vital resource for those navigating the mathematical landscapes of complex analysis and sheaf-theoretical methods.

Key Features

Part of the Encyclopaedia of Mathematical Sciences series, specifically volume 74, ensuring a high standard of academic rigor.

Explores the transition from single complex variable problems to the advanced study of several complex variables.

Covers essential topics including complex tori, moduli spaces, and complex manifolds for advanced mathematical study.

Provides detailed mathematical context regarding Riemann surfaces and the periods of integrals of abelian differentials.

An essential reference for researchers studying Hausdorff spaces with local complex coordinates and holomorphic functions.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
12 July 1994
Listed Since
22 December 2006

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