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Springer Several Complex Variables VII - Sheaf-Theoretical Methods

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Description

This advanced mathematical text explores sheaf-theoretical approaches to complex analysis, part of the prestigious Encyclopaedia of Mathematical Sciences series (volume 74). The book examines how problems in single complex variables naturally extend into studies of several complex variables, with particular emphasis on complex manifolds, Riemann surfaces, and moduli spaces. Drawing on classical foundations established by Riemann's work on surfaces and periods of abelian differentials, the text develops sophisticated modern techniques for investigating holomorphic functions and complex geometric structures. Ideal for research mathematicians, graduate students, and specialists in algebraic geometry and complex analysis seeking deep theoretical understanding of sheaf cohomology methods and their applications to multivariable complex analysis.

Key Features

Sheaf-theoretical methods provide rigorous foundations for studying complex manifolds with holomorphic functions and local complex coordinates.

Part of Springer's Encyclopaedia of Mathematical Sciences series, ensuring comprehensive coverage and scholarly authority in advanced mathematics.

Explores connections between single and several complex variables, including Riemann surfaces and moduli space theory.

Covers complex tori and geometric structures arising from periods of abelian differentials on compact surfaces of various genera.

Essential reference for graduate-level mathematics, algebraic geometry, and complex analysis research.

Product Specifications

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

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