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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      Book details

      Published 31 December 1995
      ISBN-13 9780691011189
      978-0691011189
      ISBN-10 0691011184

      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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