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Oscar Zariski: Collected Papers, Volume 2: Holomorphic Functions and Linear Systems

Oscar Zariski: Collected Papers, Volume 2: Holomorphic Functions and Linear Systems

Paperback

Series: Mathematicians of Our Time, Book 2

General Mathematics

ISBN10: 0262519534
ISBN13: 9780262519533
Publisher: MIT Press
Published: Sep 26 1979
Pages: 530
Weight: 1.97
Height: 1.07 Width: 6.88 Depth: 10.00
Language: English
This is the second of four volumes that will eventually present the full corpus of Zariski's mathematical contributions. Like the first volume (subtitled Foundations of Algebraic Geometry and Resolution of Singularities and edited by H. Hironaka and D. Mumford), it is divided into two parts, each devoted to a large but circumscribed area of research activity.

The first part, containing eight papers introduced by Artin, deals with the theory of formal holomorphic functions on algebraic varieties over fields of any characteristic. The primary concern, in Zariski's words, is analytic properties of an algebraic variety V, either in the neighborhood of a point (strictly local theory) or - and this is the deeper aspect of the theory - in the neighborhood of an algebraic subvariety of V (semiglobal theory).

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Zariski, Oscar

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General Mathematics