MARC details
| 000 -LEADER |
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| fixed length control field |
05533nam a2200973 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
DE-B1597 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20260416115152.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
260303s2022 gw fo d z eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783110640694 |
| 041 0# - LANGUAGE CODE |
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| Language |
|
| 044 ## - COUNTRY OF PUBLISHING/PRODUCING ENTITY CODE |
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| MARC country code |
gw |
| ISO country code |
DE |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Subject category code subdivision |
002010 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
MAT |
| Subject category code subdivision |
012000 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
MAT |
| Subject category code subdivision |
012010 |
| Source |
bisacsh |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Simis, Aron, |
| 245 00 - TITLE STATEMENT |
|---|
| Title |
Graded Algebras in Algebraic Geometry |
| Statement of responsibility, etc |
Aron Simis, Zaqueu Ramos. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (XVI, 448 p.) |
| 505 00 - FORMATTED CONTENTS NOTE |
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| Title |
Frontmatter -- |
| -- |
Acknowledgments -- |
| -- |
Foreword -- |
| -- |
Contents -- |
| -- |
1 Geometric motivation -- |
| -- |
2 Graded algebras -- |
| -- |
3 Rational maps, I -- |
| -- |
4 Rational maps, II -- |
| -- |
5 The gradient ideal -- |
| -- |
6 Cremona transformations, I -- |
| -- |
7 Cremona transformations, II -- |
| -- |
8 Steps in elimination -- |
| -- |
9 The Gauss map -- |
| -- |
10 Tangent varieties -- |
| -- |
11 Embedded joins and secants -- |
| -- |
12 Aluffi algebras -- |
| -- |
Bibliography -- |
| -- |
Index |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
The objective of this book is to look at certain commutative graded algebras that appear frequently in algebraic geometry. By studying classical constructions from geometry from the point of view of modern commutative algebra, this carefully-written book is a valuable source of information, offering a careful algebraic systematization and treatment of the problems at hand, and contributing to the study of the original geometric questions. In greater detail, the material covers aspects of rational maps (graph, degree, birationality, specialization, combinatorics), Cremona transformations, polar maps, Gauss maps, the geometry of Fitting ideals, tangent varieties, joins and secants, Aluffi algebras. The book includes sections of exercises to help put in practice the theoretic material instead of the mere complementary additions to the theory. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
MATHEMATICS / Algebra / Abstract. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
MATHEMATICS / Geometry / General. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
MATHEMATICS / Geometry / Algebraic. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Ramos, Zaqueu, |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://www.degruyterbrill.com/isbn/9783110640694">https://www.degruyterbrill.com/isbn/9783110640694</a> |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://www.degruyterbrill.com/document/cover/isbn/9783110640694/original">https://www.degruyterbrill.com/document/cover/isbn/9783110640694/original</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Electronic Books |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Relator term |
author. |
| Relator code |
aut |
| -- |
http://id.loc.gov/vocabulary/relators/aut |
| 264 #1 - |
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| -- |
Berlin |
| -- |
Boston |
| -- |
De Gruyter, |
| -- |
[2022] |
| 264 #4 - |
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| -- |
©2022 |
| 336 ## - |
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| -- |
text |
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txt |
| -- |
rdacontent |
| 337 ## - |
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| -- |
computer |
| -- |
c |
| -- |
rdamedia |
| 338 ## - |
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| -- |
online resource |
| -- |
cr |
| -- |
rdacarrier |
| 347 ## - |
|---|
| -- |
text file |
| -- |
PDF |
| -- |
rda |
| 490 0# - SERIES STATEMENT |
|---|
| Series statement |
De Gruyter Expositions in Mathematics , |
| International Standard Serial Number |
0938-6572 ; |
| Volume number/sequential designation |
70 |
| 506 0# - RESTRICTIONS ON ACCESS NOTE |
|---|
| Terms governing access |
restricted access |
| Uniform Resource Identifier |
<a href="http://purl.org/coar/access_right/c_16ec">http://purl.org/coar/access_right/c_16ec</a> |
| Standardized terminology for access restriction |
online access with authorization |
| Source of term |
star |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE |
|---|
| Additional physical form available note |
Issued also in print. |
| 532 8# - |
|---|
| -- |
The accessibility of this resources in unknown or unassessed. |
| 538 ## - SYSTEM DETAILS NOTE |
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| System details note |
Mode of access: Internet via World Wide Web. |
| 545 ## - BIOGRAPHICAL OR HISTORICAL DATA |
|---|
| Biographical or historical note |
Aron Simis, Federal University of Pernambuco, Brazil; Zaqueu Alves Ramos, Cidade Universitária Prof. Aloísio Campo, Brazil. |
| 546 ## - LANGUAGE NOTE |
|---|
| Language note |
In English. |
| 588 0# - |
|---|
| -- |
Description based on online resource; title from PDF title page (publisher's Web site, viewed March 03 2026) |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Source of heading or term |
bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Source of heading or term |
bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Source of heading or term |
bisacsh |
| 653 #0 - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Algebraische Geometrie |
| 653 #0 - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Graduierter Modul |
| 653 #0 - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Graduierter Ring |
| 653 #0 - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Kommutative Algebra |
| 653 #0 - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Schnitt <Mathematik> |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Relator term |
author. |
| Relator code |
aut |
| -- |
http://id.loc.gov/vocabulary/relators/aut |
| 773 08 - HOST ITEM ENTRY |
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Title is part of eBook package: |
| Place, publisher, and date of publication |
De Gruyter |
| Title |
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| International Standard Book Number |
9783110766820 |
| Other item identifier |
ZDB-23-23 |
| 773 08 - HOST ITEM ENTRY |
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Title is part of eBook package: |
| Place, publisher, and date of publication |
De Gruyter |
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| International Standard Book Number |
9783110770445 |
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ZDB-23-DMA |
| 773 08 - HOST ITEM ENTRY |
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Title is part of eBook package: |
| Place, publisher, and date of publication |
De Gruyter |
| Title |
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| International Standard Book Number |
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978-3-11-099386-8 EBOOK PACKAGE Mathematics 2022 English |
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Title is part of eBook package: |
| Place, publisher, and date of publication |
De Gruyter |
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| International Standard Book Number |
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| 773 08 - HOST ITEM ENTRY |
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Title is part of eBook package: |
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De Gruyter |
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| 773 08 - HOST ITEM ENTRY |
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De Gruyter |
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| 773 08 - HOST ITEM ENTRY |
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| Place, publisher, and date of publication |
De Gruyter |
| Title |
EBOOK PACKAGE Mathematics 2022 DGB - ENG |
| International Standard Book Number |
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| 776 0# - ADDITIONAL PHYSICAL FORM ENTRY |
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EPUB |
| International Standard Book Number |
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| 776 0# - ADDITIONAL PHYSICAL FORM ENTRY |
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| Qualifying information |
print |
| International Standard Book Number |
9783110637540 |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
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Cover |
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