Polynomial Automorphisms: and the Jacobian Conjecture
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2000
|
| Schriftenreihe: | Progress in Mathematics
190 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Motivated by some notorious open problems, such as the Jacobian conjecture and the tame generators problem, the subject of polynomial automorphisms has become a rapidly growing field of interest. This book, the first in the field, collects many of the results scattered throughout the literature. It introduces the reader to a fascinating subject and brings him to the forefront of research in this area. Some of the topics treated are invertibility criteria, face polynomials, the tame generators problem, the cancellation problem, exotic spaces, DNA for polynomial automorphisms, the Abhyankar-Moh theorem, stabilization methods, dynamical systems, the Markus-Yamabe conjecture, group actions, Hilbert's 14th problem, various linearization problems and the Jacobian conjecture. The work is essentially self-contained and aimed at the level of beginning graduate students. Exercises are included at the end of each section. At the end of the book there are appendices to cover used material from algebra, algebraic geometry, D-modules and Gröbner basis theory. A long list of ''strong'' examples and an extensive bibliography conclude the book |
| Beschreibung: | 1 Online-Ressource (XVIII, 329 p) |
| ISBN: | 9783034884402 9783034895675 |
| DOI: | 10.1007/978-3-0348-8440-2 |
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Datensatz im Suchindex
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| adam_text | |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-8440-2 |
| format | Electronic eBook |
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| id | DE-604.BV042422137 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-21T00:12:57Z |
| institution | BVB |
| isbn | 9783034884402 9783034895675 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857554 |
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| spelling | Essen, Arno Verfasser aut Polynomial Automorphisms and the Jacobian Conjecture by Arno Essen Basel Birkhäuser Basel 2000 1 Online-Ressource (XVIII, 329 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 190 Motivated by some notorious open problems, such as the Jacobian conjecture and the tame generators problem, the subject of polynomial automorphisms has become a rapidly growing field of interest. This book, the first in the field, collects many of the results scattered throughout the literature. It introduces the reader to a fascinating subject and brings him to the forefront of research in this area. Some of the topics treated are invertibility criteria, face polynomials, the tame generators problem, the cancellation problem, exotic spaces, DNA for polynomial automorphisms, the Abhyankar-Moh theorem, stabilization methods, dynamical systems, the Markus-Yamabe conjecture, group actions, Hilbert's 14th problem, various linearization problems and the Jacobian conjecture. The work is essentially self-contained and aimed at the level of beginning graduate students. Exercises are included at the end of each section. At the end of the book there are appendices to cover used material from algebra, algebraic geometry, D-modules and Gröbner basis theory. A long list of ''strong'' examples and an extensive bibliography conclude the book Jacobi, Carl Gustav Jacob 1804-1851 (DE-588)118775766 gnd rswk-swf Mathematics Algebra Mathematik Automorphismus (DE-588)4143709-3 gnd rswk-swf Faktorisierung (DE-588)4128927-4 gnd rswk-swf Polynom (DE-588)4046711-9 gnd rswk-swf Mathematisches Problem (DE-588)4114530-6 gnd rswk-swf Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Funktionaldeterminante (DE-588)4417067-1 gnd rswk-swf Jacobi, Carl Gustav Jacob 1804-1851 (DE-588)118775766 p Mathematisches Problem (DE-588)4114530-6 s Polynom (DE-588)4046711-9 s Faktorisierung (DE-588)4128927-4 s 1\p DE-604 Kommutative Algebra (DE-588)4164821-3 s Automorphismus (DE-588)4143709-3 s 2\p DE-604 Funktionaldeterminante (DE-588)4417067-1 s 3\p DE-604 https://doi.org/10.1007/978-3-0348-8440-2 Verlag 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Essen, Arno Polynomial Automorphisms and the Jacobian Conjecture Jacobi, Carl Gustav Jacob 1804-1851 (DE-588)118775766 gnd Mathematics Algebra Mathematik Automorphismus (DE-588)4143709-3 gnd Faktorisierung (DE-588)4128927-4 gnd Polynom (DE-588)4046711-9 gnd Mathematisches Problem (DE-588)4114530-6 gnd Kommutative Algebra (DE-588)4164821-3 gnd Funktionaldeterminante (DE-588)4417067-1 gnd |
| subject_GND | (DE-588)118775766 (DE-588)4143709-3 (DE-588)4128927-4 (DE-588)4046711-9 (DE-588)4114530-6 (DE-588)4164821-3 (DE-588)4417067-1 |
| title | Polynomial Automorphisms and the Jacobian Conjecture |
| title_auth | Polynomial Automorphisms and the Jacobian Conjecture |
| title_exact_search | Polynomial Automorphisms and the Jacobian Conjecture |
| title_full | Polynomial Automorphisms and the Jacobian Conjecture by Arno Essen |
| title_fullStr | Polynomial Automorphisms and the Jacobian Conjecture by Arno Essen |
| title_full_unstemmed | Polynomial Automorphisms and the Jacobian Conjecture by Arno Essen |
| title_short | Polynomial Automorphisms |
| title_sort | polynomial automorphisms and the jacobian conjecture |
| title_sub | and the Jacobian Conjecture |
| topic | Jacobi, Carl Gustav Jacob 1804-1851 (DE-588)118775766 gnd Mathematics Algebra Mathematik Automorphismus (DE-588)4143709-3 gnd Faktorisierung (DE-588)4128927-4 gnd Polynom (DE-588)4046711-9 gnd Mathematisches Problem (DE-588)4114530-6 gnd Kommutative Algebra (DE-588)4164821-3 gnd Funktionaldeterminante (DE-588)4417067-1 gnd |
| topic_facet | Jacobi, Carl Gustav Jacob 1804-1851 Mathematics Algebra Mathematik Automorphismus Faktorisierung Polynom Mathematisches Problem Kommutative Algebra Funktionaldeterminante |
| url | https://doi.org/10.1007/978-3-0348-8440-2 |
| work_keys_str_mv | AT essenarno polynomialautomorphismsandthejacobianconjecture |