Description

Book Synopsis
The author introduced the concept of a "local system" on P1-{a finite set of points} nearly 140 years ago. His idea was to study nth order linear differential equations by studying the rank n local systems (of local holomorphic solutions) to which they gave rise.

Trade Review
"It is clear that this book presents highly important new views and results on the classical theory of complex linear differential equations."--Zentralblatt fur Mathematik

Table of Contents
* First results on rigid local systems * The theory of middle concolution * Fourier Transform and rigidity * Middle concolution: dependence on parameters * Structure of rigid local systems * Existence algorithms for rigids * Diophantine aspects of rigidity * rigids

Rigid Local Systems

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A Paperback / softback by Nicholas M. Katz

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    View other formats and editions of Rigid Local Systems by Nicholas M. Katz

    Publisher: Princeton University Press
    Publication Date: 31/12/1995
    ISBN13: 9780691011189, 978-0691011189
    ISBN10: 0691011184
    Also in:
    Mathematics Algebraic geometry Complex analysis, complex variables

    Description

    Book Synopsis
    The author introduced the concept of a "local system" on P1-{a finite set of points} nearly 140 years ago. His idea was to study nth order linear differential equations by studying the rank n local systems (of local holomorphic solutions) to which they gave rise.

    Trade Review
    "It is clear that this book presents highly important new views and results on the classical theory of complex linear differential equations."--Zentralblatt fur Mathematik

    Table of Contents
    * First results on rigid local systems * The theory of middle concolution * Fourier Transform and rigidity * Middle concolution: dependence on parameters * Structure of rigid local systems * Existence algorithms for rigids * Diophantine aspects of rigidity * rigids

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