MARC details
000 -LEADER |
fixed length control field |
02374nam a22003017a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20240615181328.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
240612b |||||||| |||| 00| 0 hin d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783658430306 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
NISER LIBRARY |
Language of cataloging |
eng |
Transcribing agency |
NISER LIBRARY |
041 ## - LANGUAGE CODE |
Language code of text/sound track or separate title |
English |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.7 |
Item number |
GOR-A |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Görtz, Ulrich. |
245 10 - TITLE STATEMENT |
Title |
Algebraic geometry II : |
Remainder of title |
cohomology of schemes: with examples and exercises |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc. |
Germany : |
Name of publisher, distributor, etc. |
Springer Spektrum, |
Date of publication, distribution, etc. |
2023. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
vii, 869p. |
490 ## - SERIES STATEMENT |
Series statement |
Springer studium mathematik - master |
International Standard Serial Number |
2509-9310 |
520 ## - SUMMARY, ETC. |
Summary, etc. |
This book completes the comprehensive introduction to modern algebraic geometry which was started with the introductory volume Algebraic Geometry I: Schemes.<br/><br/>It begins by discussing in detail the notions of smooth, unramified and étale morphisms including the étale fundamental group. The main part is dedicated to the cohomology of quasi-coherent sheaves. The treatment is based on the formalism of derived categories which allows an efficient and conceptual treatment of the theory, which is of crucial importance in all areas of algebraic geometry. After the foundations are set up, several more advanced topics are studied, such as numerical intersection theory, an abstract version of the Theorem of Grothendieck-Riemann-Roch, the Theorem on Formal Functions, Grothendieck's algebraization results and a very general version of Grothendieck duality. The book concludes with chapters on curves and on abelian schemes, which serve to develop the basics of the theory of these two important classes of schemes on an advanced level, and at the same time to illustrate the power of the techniques introduced previously.<br/><br/>The text contains many exercises that allow the reader to check their comprehension of the text, present further examples or give an outlook on further results. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Algebraic Geometry. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Geometry, Algebraic. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Cohomology of Schemes |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Smooth Morphisms |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Cohomology of Sheaves of Modules |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Wedhorn, Torsten. |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Table of contents |
Uniform Resource Identifier |
<a href="https://link.springer.com/content/pdf/bfm:978-3-658-43031-3/1">https://link.springer.com/content/pdf/bfm:978-3-658-43031-3/1</a> |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Reviews |
Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/211896624-algebraic-geometry-ii?from_search=true&from_srp=true&qid=XxtAKoWWjS&rank=2#CommunityReviews">https://www.goodreads.com/book/show/211896624-algebraic-geometry-ii?from_search=true&from_srp=true&qid=XxtAKoWWjS&rank=2#CommunityReviews</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
Book |
Source of classification or shelving scheme |
Universal Decimal Classification |