Oscar Zariski: Collected Papers, Vol. 2: Holomorphic Functions and Linear Systems (Mathematicians of Our Time)

Zariski, Oscar

ISBN 10: 0262010380 / ISBN 13: 9780262010382

Published by The MIT Press, 1973

About this Item

4to - over 9¾" - 12" tall. Clean, tight copy except for a small inscription by the previous owner to the front endpaper. Wear and tear to original dustjacket.B&W Equations. Seller Inventory # 00518605

Bibliographic Details

Title: Oscar Zariski: Collected Papers, Vol. 2: ...

Publisher: The MIT Press

Publication Date: 1973

Binding: Hardcover

Condition: Near Fine

Dust Jacket Condition: Good

Edition: First Edition.

About this title

Synopsis:

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)." Mumford surveys the ten papers reprinted in the second part. These deal with linear systems and the Riemann-Roch theorem and its applications, again in arbitrary characteristic. The applications are primarily to algebraic surfaces and include minimal models and characterization of rational or ruled surfaces.