Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (8 chapters)
Keywords
About this book
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 cohomology-theoretic) 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 (24.4.1899-4.7.1986) 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/10.1007/978-3-642-61991-5
Publisher: Springer Berlin, Heidelberg
-
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1995
Softcover ISBN: 978-3-540-58658-6Published: 15 February 1995
eBook ISBN: 978-3-642-61991-5Published: 06 December 2012
Series ISSN: 1431-0821
Series E-ISSN: 2512-5257
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