Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, access via your institution.
Table of contents (8 chapters)

Front Matter

Back Matter
About this book
Keywords
 Dimension
 Excel
 algebra
 algebraic curve
 algebraic geometry
 algebraic surface
 algebraic varieties
 geometry
 manifold
 mathematics
 review
 torsion
 transformation
Reviews
Now as before, the original text of the book is an excellent source for an interested reader to study the methods of classical algebraic geometry, and to find the great old results, stated here without requiring the knowledge of the modern, abstract (sheaf and cohomologytheoretic) machinery of contemporary algebraic geometry.  The second edition of the book under review appeared in 1971 enriched by updating appendices  one for each chapter , which were written by S.S. Abhyankar, J. Lipman, and D. Mumford. These ten appendices gave outlines of the developments of algebraic surface theory during the period from 1935 to 1970, connecting  in this way  Zariski's original classic text to the methods and results of abstract modern algebraic geometry.
Today, there is a vast literature on algebraic surface theory from the modern point of view, ... , but the classic text under review is still highly recommendable for reading, a linking piece between classical and modern algebraic geometry, and a timelessly beautiful pearl in the cultural heritage of mathematics as a whole. The present edition is an unchanged reprint of the second edition from 1971."
Zentralblatt MATH, 845 `
About the author
Biography of Oscar Zariski
Oscar Zariski (24.4.18994.7.1986) was born in Kobryn, Poland, and studied at the universities of Kiev and Rome. He held positions at Rome University, John Hopkins University, the University of Illinois and from 1947 at Harvard University.
Zariski's main fields of activity were in algebraic geometry, algebra, algebraic function theory and topology. His most influential results bear on algebraic surfaces, the resolution of singularities and the foundations of algebraic geometry over arbitrary fields.
Bibliographic Information
Book Title: Algebraic Surfaces
Authors: Oscar Zariski
Series Title: Classics in Mathematics
DOI: https://doi.org/10.1007/9783642619915
Publisher: Springer Berlin, Heidelberg

eBook Packages: Springer Book Archive
Copyright Information: SpringerVerlag Berlin Heidelberg 1995
Softcover ISBN: 9783540586586Published: 15 February 1995
eBook ISBN: 9783642619915Published: 06 December 2012
Series ISSN: 14310821
Series EISSN: 25125257
Edition Number: 2
Number of Pages: XI, 273
Additional Information: Reprint of the 1971 Edition (Ergebnisse der Mathematik, 2. Folge, Vol. 61)
Topics: Algebraic Geometry