Arithmetic of blowup algebras:
This book provides an introduction to recent developments in the theory of blow up algebras - Rees algebras, associated graded rings, Hilbert functions, and birational morphisms. The emphasis is on deriving properties of rings from their specifications in terms of generators and relations. While thi...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1994
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| Schriftenreihe: | London Mathematical Society lecture note series
195 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | This book provides an introduction to recent developments in the theory of blow up algebras - Rees algebras, associated graded rings, Hilbert functions, and birational morphisms. The emphasis is on deriving properties of rings from their specifications in terms of generators and relations. While this limits the generality of many results, it opens the way for the application of computational methods. A highlight of the book is the chapter on advanced computational methods in algebra using Gröbner basis theory and advanced commutative algebra. The author presents the Gröbner basis algorithm and shows how it can be used to resolve computational questions in algebra. This volume is intended for advanced students in commutative algebra, algebraic geometry and computational algebra, and homological algebra. It can be used as a reference for the theory of Rees algebras and related topics |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (329 pages) |
| ISBN: | 9780511574726 |
| DOI: | 10.1017/CBO9780511574726 |
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| 505 | 8 | 0 | |g Foreword |g Introduction |t Krull dimension |t Syzygetic sequences |t Approximation complexes |t Linkage and Koszul homology |t Arithmetic of Rees algebras |t Fractoriality |t Ideal transforms |t The equations of Rees algebras |t Commuting varieties of algebra |t Computational methods in commutative algebra |
| 520 | |a This book provides an introduction to recent developments in the theory of blow up algebras - Rees algebras, associated graded rings, Hilbert functions, and birational morphisms. The emphasis is on deriving properties of rings from their specifications in terms of generators and relations. While this limits the generality of many results, it opens the way for the application of computational methods. A highlight of the book is the chapter on advanced computational methods in algebra using Gröbner basis theory and advanced commutative algebra. The author presents the Gröbner basis algorithm and shows how it can be used to resolve computational questions in algebra. This volume is intended for advanced students in commutative algebra, algebraic geometry and computational algebra, and homological algebra. It can be used as a reference for the theory of Rees algebras and related topics | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Vasconcelos, Wolmer V. |
| author_facet | Vasconcelos, Wolmer V. |
| author_role | aut |
| author_sort | Vasconcelos, Wolmer V. |
| author_variant | w v v wv wvv |
| building | Verbundindex |
| bvnumber | BV043941758 |
| classification_rvk | SI 320 SK 230 |
| collection | ZDB-20-CBO |
| contents | Krull dimension Syzygetic sequences Approximation complexes Linkage and Koszul homology Arithmetic of Rees algebras Fractoriality Ideal transforms The equations of Rees algebras Commuting varieties of algebra Computational methods in commutative algebra |
| ctrlnum | (ZDB-20-CBO)CR9780511574726 (OCoLC)967775551 (DE-599)BVBBV043941758 |
| dewey-full | 512/.24 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.24 |
| dewey-search | 512/.24 |
| dewey-sort | 3512 224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511574726 |
| format | Electronic eBook |
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| id | DE-604.BV043941758 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511574726 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350728 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (329 pages) |
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| publishDate | 1994 |
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| publisher | Cambridge University Press |
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| series2 | London Mathematical Society lecture note series |
| spelling | Vasconcelos, Wolmer V. Verfasser aut Arithmetic of blowup algebras Wolmer V. Vasconcelos Cambridge Cambridge University Press 1994 1 online resource (329 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 195 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Foreword Introduction Krull dimension Syzygetic sequences Approximation complexes Linkage and Koszul homology Arithmetic of Rees algebras Fractoriality Ideal transforms The equations of Rees algebras Commuting varieties of algebra Computational methods in commutative algebra This book provides an introduction to recent developments in the theory of blow up algebras - Rees algebras, associated graded rings, Hilbert functions, and birational morphisms. The emphasis is on deriving properties of rings from their specifications in terms of generators and relations. While this limits the generality of many results, it opens the way for the application of computational methods. A highlight of the book is the chapter on advanced computational methods in algebra using Gröbner basis theory and advanced commutative algebra. The author presents the Gröbner basis algorithm and shows how it can be used to resolve computational questions in algebra. This volume is intended for advanced students in commutative algebra, algebraic geometry and computational algebra, and homological algebra. It can be used as a reference for the theory of Rees algebras and related topics Commutative algebra Aufblasungsring (DE-588)4293747-4 gnd rswk-swf Aufblasung (DE-588)4139570-0 gnd rswk-swf Aufblasung (DE-588)4139570-0 s 1\p DE-604 Aufblasungsring (DE-588)4293747-4 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-45484-1 https://doi.org/10.1017/CBO9780511574726 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Vasconcelos, Wolmer V. Arithmetic of blowup algebras Krull dimension Syzygetic sequences Approximation complexes Linkage and Koszul homology Arithmetic of Rees algebras Fractoriality Ideal transforms The equations of Rees algebras Commuting varieties of algebra Computational methods in commutative algebra Commutative algebra Aufblasungsring (DE-588)4293747-4 gnd Aufblasung (DE-588)4139570-0 gnd |
| subject_GND | (DE-588)4293747-4 (DE-588)4139570-0 |
| title | Arithmetic of blowup algebras |
| title_alt | Krull dimension Syzygetic sequences Approximation complexes Linkage and Koszul homology Arithmetic of Rees algebras Fractoriality Ideal transforms The equations of Rees algebras Commuting varieties of algebra Computational methods in commutative algebra |
| title_auth | Arithmetic of blowup algebras |
| title_exact_search | Arithmetic of blowup algebras |
| title_full | Arithmetic of blowup algebras Wolmer V. Vasconcelos |
| title_fullStr | Arithmetic of blowup algebras Wolmer V. Vasconcelos |
| title_full_unstemmed | Arithmetic of blowup algebras Wolmer V. Vasconcelos |
| title_short | Arithmetic of blowup algebras |
| title_sort | arithmetic of blowup algebras |
| topic | Commutative algebra Aufblasungsring (DE-588)4293747-4 gnd Aufblasung (DE-588)4139570-0 gnd |
| topic_facet | Commutative algebra Aufblasungsring Aufblasung |
| url | https://doi.org/10.1017/CBO9780511574726 |
| work_keys_str_mv | AT vasconceloswolmerv arithmeticofblowupalgebras |