Graded algebras in algebraic geometry:
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...
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2022]
|
| Schriftenreihe: | De Gruyter expositions in mathematics
volume 70 |
| Schlagworte: | |
| Online-Zugang: | DE-1043 DE-1046 DE-858 DE-898 DE-859 DE-860 DE-91 DE-706 DE-739 URL des Erstveröffentlichers |
| Zusammenfassung: | 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 |
| Beschreibung: | 1 Online-Ressource (XV, 445 Seiten) |
| ISBN: | 9783110640694 |
| DOI: | 10.1515/9783110640694 |
Internformat
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| discipline | Mathematik |
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| index_date | 2024-07-03T19:33:45Z |
| indexdate | 2025-02-19T17:34:27Z |
| institution | BVB |
| isbn | 9783110640694 |
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| spelling | Simis, Aron 1942- Verfasser (DE-588)120670683X aut Graded algebras in algebraic geometry Aron Simis, Zaqueu Ramos Berlin ; Boston De Gruyter [2022] © 2022 1 Online-Ressource (XV, 445 Seiten) txt rdacontent c rdamedia cr rdacarrier De Gruyter expositions in mathematics volume 70 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 Algebraische Geometrie Graduierter Modul Graduierter Ring Kommutative Algebra Schnitt ‹Mathematik› MATHEMATICS / Algebra / Abstract bisacsh Graduierter Ring (DE-588)4158003-5 gnd rswk-swf Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 s Kommutative Algebra (DE-588)4164821-3 s Graduierter Ring (DE-588)4158003-5 s DE-604 Ramos, Zaqueu Verfasser aut Erscheint auch als Druck-Ausgabe 978-3-11-063754-0 De Gruyter expositions in mathematics volume 70 (DE-604)BV044998893 70 https://doi.org/10.1515/9783110640694 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Simis, Aron 1942- Ramos, Zaqueu Graded algebras in algebraic geometry De Gruyter expositions in mathematics Algebraische Geometrie Graduierter Modul Graduierter Ring Kommutative Algebra Schnitt ‹Mathematik› MATHEMATICS / Algebra / Abstract bisacsh Graduierter Ring (DE-588)4158003-5 gnd Kommutative Algebra (DE-588)4164821-3 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4158003-5 (DE-588)4164821-3 (DE-588)4001161-6 |
| title | Graded algebras in algebraic geometry |
| title_auth | Graded algebras in algebraic geometry |
| title_exact_search | Graded algebras in algebraic geometry |
| title_exact_search_txtP | 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_short | Graded algebras in algebraic geometry |
| title_sort | graded algebras in algebraic geometry |
| topic | Algebraische Geometrie Graduierter Modul Graduierter Ring Kommutative Algebra Schnitt ‹Mathematik› MATHEMATICS / Algebra / Abstract bisacsh Graduierter Ring (DE-588)4158003-5 gnd Kommutative Algebra (DE-588)4164821-3 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Algebraische Geometrie Graduierter Modul Graduierter Ring Kommutative Algebra Schnitt ‹Mathematik› MATHEMATICS / Algebra / Abstract |
| url | https://doi.org/10.1515/9783110640694 |
| volume_link | (DE-604)BV044998893 |
| work_keys_str_mv | AT simisaron gradedalgebrasinalgebraicgeometry AT ramoszaqueu gradedalgebrasinalgebraicgeometry |