MARC details
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02606 a2200289 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20240301154145.0 |
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240301b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780821808627 |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
IISER BPR |
| 041 ## - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
ENG |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
516.35 |
| Item number |
UEN |
| Edition number |
23rd |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Ueno, Kenji |
| 245 ## - TITLE STATEMENT |
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| Title |
Algebraic geometry 1 : |
| Remainder of title |
From algebraic varieties to schemes |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Rhode Island : |
| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
c1999. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xix, 154p. : |
| Other physical details |
ill, pbk. ; |
| Dimensions |
20cm |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
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| Title |
Translations of Mathematical Monographs |
| Volume number/sequential designation |
Vol. 185 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Iwanami Series in Modern Mathematics |
| 520 ## - SUMMARY, ETC. |
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| 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.<br/><br/>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.<br/><br/>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.<br/><br/>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.<br/><br/>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.<br/><br/>Includes index. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Algebraic Geometry |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Algebraic Varieties |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Algebraic Schemes |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Kato, Goro |
| Relator code |
Transl. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
