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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Rigid Local Systems. (Am-139), Volume 139

Rigid Local Systems. (Am-139), Volume 139

Katz, Nicholas M.

Paperback

Series: Annals of Mathematics Studies, Book 139

General MathematicsGeneral ScienceGeometry

ISBN10: 0691011184
ISBN13: 9780691011189
Publisher: Princeton Univ Pr
Published: Dec 31 1995
Pages: 219
Weight: 0.70
Height: 0.63 Width: 6.10 Depth: 9.22
Language: English

Riemann 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. His first application was to study the classical Gauss hypergeometric function, which he did by studying rank-two local systems on P1- {0,1, infinity}. His investigation was successful, largely because any such (irreducible) local system is rigid in the sense that it is globally determined as soon as one knows separately each of its local monodromies. It became clear that luck played a role in Riemann's success: most local systems are not rigid. Yet many classical functions are solutions of differential equations whose local systems are rigid, including both of the standard nth order generalizations of the hypergeometric function, n

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