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:
| Beteiligte Personen: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2022]
|
| Schriftenreihe: | De Gruyter expositions in mathematics
volume 70 |
| Schlagwörter: | |
| Links: | https://www.degruyter.com/isbn/9783110640694 https://www.degruyter.com/isbn/9783110640694 https://www.degruyter.com/isbn/9783110640694 https://doi.org/10.1515/9783110640694 https://www.degruyter.com/isbn/9783110640694 https://www.degruyter.com/isbn/9783110640694 https://doi.org/10.1515/9783110640694 https://doi.org/10.1515/9783110640694 https://www.degruyter.com/isbn/9783110640694 https://doi.org/10.1515/9783110640694 |
| 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 |
| Umfang: | 1 Online-Ressource (XV, 445 Seiten) |
| ISBN: | 9783110640694 |
| DOI: | 10.1515/9783110640694 |
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| indexdate | 2025-02-18T19:14:52Z |
| institution | BVB |
| isbn | 9783110640694 |
| language | English |
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| publishDate | 2022 |
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| series | De Gruyter expositions in mathematics |
| series2 | De Gruyter expositions in mathematics |
| 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_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 |