MARC details
000 -LEADER |
fixed length control field |
02718dam a2200241 a 4500 |
001 - CONTROL NUMBER |
control field |
0000063278 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
0001 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
140314m19972003riua b 001 0 eng |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
0821808621 |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
516.35 |
Edition number |
21 |
084 ## - OTHER CLASSIFICATION NUMBER |
Classification number |
516.35 |
Item number |
UEN-A |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Ueno, Kenji, |
Dates associated with a name |
1945- |
240 10 - UNIFORM TITLE |
Uniform title |
Daisåu kika. |
Language of a work |
English |
245 10 - TITLE STATEMENT |
Title |
Algebraic geometry 1 |
Medium |
[Book] : |
Remainder of title |
from algebraic varieties to schemes / |
Statement of responsibility, etc. |
Kenji Ueno ; translated by Goro Kato. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. |
Place of publication, distribution, etc. |
Providence, R.I. : |
Name of publisher, distributor, etc. |
American Mathematical Society, |
Date of publication, distribution, etc. |
c1997, c1999. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xix, 154 p. : |
Other physical details |
ill. ; |
Dimensions |
22 cm. |
440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Iwanami series in modern mathematics ; |
Volume/sequential designation |
v. 185. |
|
Title |
Translations of mathematical monographs, |
International Standard Serial Number |
0065-9282 ; |
Volume/sequential designation |
v. 185, 197, 218 |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc. note |
Includes bibliographical references (v. 3, p. 193-202) and indexes. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
This is the first of three volumes on algebraic geometry. The second volume, Algebraic Geometry 2: Sheaves and Cohomology, is available from the AMS as Volume 197 in the Translations of Mathematical Monographs series. Early in the 20th century, algebraic geometry underwent a significant overhaul, as mathematicians, notably Zariski, introduced a much stronger emphasis on algebra and rigor into the subject. This was followed by another fundamental change in the 1960s with Grothendieck's introduction of schemes. Today, most algebraic geometers are well-versed in the language of schemes, but many newcomers are still initially hesitant about them. Ueno's book provides an inviting introduction to the theory, which should overcome any such impediment to learning this rich subject. The book begins with a description of the standard theory of algebraic varieties. Then, sheaves are introduced and studied, using as few prerequisites as possible. Once sheaf theory has been well understood, the next step is to see that an affine scheme can be defined in terms of a sheaf over the prime spectrum of a ring. By studying algebraic varieties over a field, Ueno demonstrates how the notion of schemes is necessary in algebraic geometry. This first volume gives a definition of schemes and describes some of their elementary properties. It is then possible, with only a little additional work, to discover their usefulness. Further properties of schemes will be discussed in the second volume. Ueno's book is a self-contained introduction to this important circle of ideas, assuming only a knowledge of basic notions from abstract algebra (such as prime ideals). It is suitable as a text for an introductory course on algebraic geometry. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Geometry, Algebraic. |
852 ## - LOCATION |
Accession No. |
46885 |
-- |
0.00 |
-- |
Grace Book Peshawar |
Former shelving location |
Books |