Graded Algebras in Algebraic Geometry / / Aron Simis, Zaqueu Ramos.
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...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2022] ©2022 |
Year of Publication: | 2022 |
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Simis, Aron, author. aut http://id.loc.gov/vocabulary/relators/aut Graded Algebras in Algebraic Geometry / Aron Simis, Zaqueu Ramos. Berlin ; Boston : De Gruyter, [2022] ©2022 1 online resource (XVI, 448 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Expositions in Mathematics , 0938-6572 ; 70 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mai 2023) Geometry, Algebraic. Algebraische Geometrie. Graduierter Modul. Graduierter Ring. Kommutative Algebra. Schnitt ‹Mathematik›. MATHEMATICS / Algebra / Abstract. bisacsh Ramos, Zaqueu, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 9783110766820 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English 9783110993899 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 9783110994810 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 English 9783110993868 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 9783110770445 ZDB-23-DMA EPUB 9783110637755 print 9783110637540 https://doi.org/10.1515/9783110640694 https://www.degruyter.com/isbn/9783110640694 Cover https://www.degruyter.com/document/cover/isbn/9783110640694/original |
language |
English |
format |
eBook |
author |
Simis, Aron, Simis, Aron, Ramos, Zaqueu, |
spellingShingle |
Simis, Aron, Simis, Aron, Ramos, Zaqueu, Graded Algebras in Algebraic Geometry / De Gruyter Expositions in Mathematics , 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 |
author_facet |
Simis, Aron, Simis, Aron, Ramos, Zaqueu, Ramos, Zaqueu, Ramos, Zaqueu, |
author_variant |
a s as a s as z r zr |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Ramos, Zaqueu, Ramos, Zaqueu, |
author2_variant |
z r zr |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Simis, Aron, |
title |
Graded Algebras in Algebraic Geometry / |
title_full |
Graded Algebras in Algebraic Geometry / Aron Simis, Zaqueu Ramos. |
title_fullStr |
Graded Algebras in Algebraic Geometry / Aron Simis, Zaqueu Ramos. |
title_full_unstemmed |
Graded Algebras in Algebraic Geometry / Aron Simis, Zaqueu Ramos. |
title_auth |
Graded Algebras in Algebraic Geometry / |
title_alt |
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 |
title_new |
Graded Algebras in Algebraic Geometry / |
title_sort |
graded algebras in algebraic geometry / |
series |
De Gruyter Expositions in Mathematics , |
series2 |
De Gruyter Expositions in Mathematics , |
publisher |
De Gruyter, |
publishDate |
2022 |
physical |
1 online resource (XVI, 448 p.) Issued also in print. |
contents |
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 |
isbn |
9783110640694 9783110766820 9783110993899 9783110994810 9783110993868 9783110770445 9783110637755 9783110637540 |
issn |
0938-6572 ; |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA564 |
callnumber-sort |
QA 3564 S478 42022 |
url |
https://doi.org/10.1515/9783110640694 https://www.degruyter.com/isbn/9783110640694 https://www.degruyter.com/document/cover/isbn/9783110640694/original |
illustrated |
Not Illustrated |
doi_str_mv |
10.1515/9783110640694 |
oclc_num |
1298722887 |
work_keys_str_mv |
AT simisaron gradedalgebrasinalgebraicgeometry AT ramoszaqueu gradedalgebrasinalgebraicgeometry |
status_str |
n |
ids_txt_mv |
(DE-B1597)507695 (OCoLC)1298722887 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 |
is_hierarchy_title |
Graded Algebras in Algebraic Geometry / |
container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 |
author2_original_writing_str_mv |
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