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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Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2022] ©2022 |
Year of Publication: | 2022 |
Language: | English |
Series: | De Gruyter Expositions in Mathematics ,
70 |
Online Access: | |
Physical Description: | 1 online resource (XVI, 448 p.) |
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100 | 1 | |a Simis, Aron, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Graded Algebras in Algebraic Geometry / |c Aron Simis, Zaqueu Ramos. |
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2022] | |
264 | 4 | |c ©2022 | |
300 | |a 1 online resource (XVI, 448 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
490 | 0 | |a De Gruyter Expositions in Mathematics , |x 0938-6572 ; |v 70 | |
505 | 0 | 0 | |t Frontmatter -- |t Acknowledgments -- |t Foreword -- |t Contents -- |t 1 Geometric motivation -- |t 2 Graded algebras -- |t 3 Rational maps, I -- |t 4 Rational maps, II -- |t 5 The gradient ideal -- |t 6 Cremona transformations, I -- |t 7 Cremona transformations, II -- |t 8 Steps in elimination -- |t 9 The Gauss map -- |t 10 Tangent varieties -- |t 11 Embedded joins and secants -- |t 12 Aluffi algebras -- |t Bibliography -- |t Index |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a 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. | ||
530 | |a Issued also in print. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mai 2023) | |
650 | 0 | |a Geometry, Algebraic. | |
650 | 4 | |a Algebraische Geometrie. | |
650 | 4 | |a Graduierter Modul. | |
650 | 4 | |a Graduierter Ring. | |
650 | 4 | |a Kommutative Algebra. | |
650 | 4 | |a Schnitt ‹Mathematik›. | |
650 | 7 | |a MATHEMATICS / Algebra / Abstract. |2 bisacsh | |
700 | 1 | |a Ramos, Zaqueu, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2022 English |z 9783110993868 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2022 |z 9783110770445 |o ZDB-23-DMA |
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776 | 0 | |c print |z 9783110637540 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9783110640694 |
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