Free shipping on orders over $99
Oscar Zariski: Collected Papers

Oscar Zariski: Collected Papers

Holomorphic Functions and Linear Systems

by Oscar ZariskiM. Artin and D. Mumford
Hardback
Publication Date: 15/11/1973

Share This Book:

 
$65.00
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.
ISBN:
9780262010382
9780262010382
Category:
Popular mathematics
Format:
Hardback
Publication Date:
15-11-1973
Language:
English
Publisher:
MIT Press Ltd
Country of origin:
United States
Pages:
615
Dimensions (mm):
249x185x33mm
Weight:
1.43kg

Click 'Notify Me' to get an email alert when this item becomes available

You can find this item in:

Show more Show less

Reviews

Be the first to review Oscar Zariski: Collected Papers.