MARC details
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02355 a2200277 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20240301154330.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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240301b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780821813577 |
| 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 2 : |
| Remainder of title |
Sheaves and cohomology |
| 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 |
c2001. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
v, 184p. : |
| 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. 197 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Iwanami Series in Modern Mathematics |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Modern algebraic geometry is built upon two fundamental notions: schemes and sheaves. The theory of schemes was explained in Algebraic Geometry 1: From Algebraic Varieties to Schemes, (see Volume 185 in the same series, Translations of Mathematical Monographs). In the present book, Ueno turns to the theory of sheaves and their cohomology. Loosely speaking, a sheaf is a way of keeping track of local information defined on a topological space, such as the local holomorphic functions on a complex manifold or the local sections of a vector bundle. To study schemes, it is useful to study the sheaves defined on them, especially the coherent and quasicoherent sheaves. The primary tool in understanding sheaves is cohomology. For example, in studying ampleness, it is frequently useful to translate a property of sheaves into a statement about its cohomology.<br/>The text covers the important topics of sheaf theory, including types of sheaves and the fundamental operations on them, such as ...<br/><br/>coherent and quasicoherent sheaves.<br/>proper and projective morphisms.<br/>direct and inverse images.<br/>Cech cohomology.<br/><br/>For the mathematician unfamiliar with the language of schemes and sheaves, algebraic geometry can seem distant. However, Ueno makes the topic seem natural through his concise style and his insightful explanations. He explains why things are done this way and supplements his explanations with illuminating examples. As a result, he is able to make algebraic geometry very accessible to a wide audience of non-specialists.<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 |
Sheaves and Cohomology |
| 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 |
