Polynomial automorphisms and the Jacobian Conjecture:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
2000
|
| Schriftenreihe: | Progress in mathematics
190 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 329 S. |
| ISBN: | 3764363509 |
Internformat
MARC
| LEADER | 00000nam a22000008cb4500 | ||
|---|---|---|---|
| 001 | BV013230597 | ||
| 003 | DE-604 | ||
| 005 | 20080107 | ||
| 007 | t | ||
| 008 | 000627s2000 gw |||| 00||| eng d | ||
| 016 | 7 | |a 959107151 |2 DE-101 | |
| 020 | |a 3764363509 |c Gb. |9 3-7643-6350-9 | ||
| 035 | |a (OCoLC)247414701 | ||
| 035 | |a (DE-599)BVBBV013230597 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-355 |a DE-29T |a DE-824 |a DE-703 |a DE-384 |a DE-11 | ||
| 050 | 0 | |a QA564 | |
| 082 | 0 | |a 516.35 | |
| 084 | |a SK 230 |0 (DE-625)143225: |2 rvk | ||
| 084 | |a SK 240 |0 (DE-625)143226: |2 rvk | ||
| 100 | 1 | |a Essen, Arno van den |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Polynomial automorphisms and the Jacobian Conjecture |c Arno van den Essen |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2000 | |
| 300 | |a XVIII, 329 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in mathematics |v 190 | |
| 600 | 1 | 7 | |a Jacobi, Carl Gustav Jacob |d 1804-1851 |0 (DE-588)118775766 |2 gnd |9 rswk-swf |
| 650 | 4 | |a Polynom - Automorphismus - Funktionaldeterminante | |
| 650 | 4 | |a Automorphisms | |
| 650 | 4 | |a Jacobians | |
| 650 | 0 | 7 | |a Automorphismus |0 (DE-588)4143709-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Faktorisierung |0 (DE-588)4128927-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Polynom |0 (DE-588)4046711-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematisches Problem |0 (DE-588)4114530-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kommutative Algebra |0 (DE-588)4164821-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktionaldeterminante |0 (DE-588)4417067-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Jacobi, Carl Gustav Jacob |d 1804-1851 |0 (DE-588)118775766 |D p |
| 689 | 0 | 1 | |a Mathematisches Problem |0 (DE-588)4114530-6 |D s |
| 689 | 0 | 2 | |a Polynom |0 (DE-588)4046711-9 |D s |
| 689 | 0 | 3 | |a Faktorisierung |0 (DE-588)4128927-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Kommutative Algebra |0 (DE-588)4164821-3 |D s |
| 689 | 1 | 1 | |a Automorphismus |0 (DE-588)4143709-3 |D s |
| 689 | 1 | 2 | |a Polynom |0 (DE-588)4046711-9 |D s |
| 689 | 1 | 3 | |a Faktorisierung |0 (DE-588)4128927-4 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Polynom |0 (DE-588)4046711-9 |D s |
| 689 | 2 | 1 | |a Automorphismus |0 (DE-588)4143709-3 |D s |
| 689 | 2 | 2 | |a Funktionaldeterminante |0 (DE-588)4417067-1 |D s |
| 689 | 2 | |5 DE-604 | |
| 830 | 0 | |a Progress in mathematics |v 190 |w (DE-604)BV000004120 |9 190 | |
| 856 | 4 | 2 | |m Digitalisierung UB Augsburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009017256&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009017256 | |
Datensatz im Suchindex
| _version_ | 1807953876588953600 |
|---|---|
| adam_text |
Contents
Preface
Introduction
1 Methods
1.
1.
1.2
1.3
1.4
2
2.1
2.2
2.3
3
3.1
3.2
generated ¿-algebras
3.3
map in two variables
4
4.1
4.2
automorphisms
4.3
lo
4.4
dimension
5
5.1
5.2
5.3
5.4
6
6.1
6.2
6.3
6.4
vi
7
7.1
7.2
7.3
7.4
II Applications
8
8.1
some background
8.2
in dimension two
8.3
8.4 Meisters'
MYC
9
9.
9.2
9.3
the invariants for reductive groups
9.4
9.5
9.6
10
10.1
Jacobian Conjecture
10.2
10.3
Conjecture in positive characteristic
10.4
10.5
III Appendices
A Some commutative algebra
A. J Rings
A.2 Modules
A.3 Localization
A.4 Completions
A.5 Finiteness conditions and integral extensions
A.6 The universal coefficients method
В
B.I Algebraic sets
B.2 Morphisms of irreducible
Contents
С
C.
C.2 Applications: several algorithms
D
D.I Flat modules and algebras
D.2 Flat morphisms between
E
E.I
E.2 Direct and inverse images
F
Bibliography
Authors Index
Index |
| any_adam_object | 1 |
| author | Essen, Arno van den |
| author_facet | Essen, Arno van den |
| author_role | aut |
| author_sort | Essen, Arno van den |
| author_variant | a v d e avd avde |
| building | Verbundindex |
| bvnumber | BV013230597 |
| callnumber-first | Q - Science |
| callnumber-label | QA564 |
| callnumber-raw | QA564 |
| callnumber-search | QA564 |
| callnumber-sort | QA 3564 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 230 SK 240 |
| ctrlnum | (OCoLC)247414701 (DE-599)BVBBV013230597 |
| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a22000008cb4500</leader><controlfield tag="001">BV013230597</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20080107</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">000627s2000 gw |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">959107151</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3764363509</subfield><subfield code="c">Gb.</subfield><subfield code="9">3-7643-6350-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)247414701</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013230597</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA564</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.35</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 230</subfield><subfield code="0">(DE-625)143225:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 240</subfield><subfield code="0">(DE-625)143226:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Essen, Arno van den</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Polynomial automorphisms and the Jacobian Conjecture</subfield><subfield code="c">Arno van den Essen</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Basel [u.a.]</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVIII, 329 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Progress in mathematics</subfield><subfield code="v">190</subfield></datafield><datafield tag="600" ind1="1" ind2="7"><subfield code="a">Jacobi, Carl Gustav Jacob</subfield><subfield code="d">1804-1851</subfield><subfield code="0">(DE-588)118775766</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Polynom - Automorphismus - Funktionaldeterminante</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Automorphisms</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Jacobians</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Automorphismus</subfield><subfield code="0">(DE-588)4143709-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Faktorisierung</subfield><subfield code="0">(DE-588)4128927-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Polynom</subfield><subfield code="0">(DE-588)4046711-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematisches Problem</subfield><subfield code="0">(DE-588)4114530-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kommutative Algebra</subfield><subfield code="0">(DE-588)4164821-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionaldeterminante</subfield><subfield code="0">(DE-588)4417067-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Jacobi, Carl Gustav Jacob</subfield><subfield code="d">1804-1851</subfield><subfield code="0">(DE-588)118775766</subfield><subfield code="D">p</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematisches Problem</subfield><subfield code="0">(DE-588)4114530-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Polynom</subfield><subfield code="0">(DE-588)4046711-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Faktorisierung</subfield><subfield code="0">(DE-588)4128927-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Kommutative Algebra</subfield><subfield code="0">(DE-588)4164821-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Automorphismus</subfield><subfield code="0">(DE-588)4143709-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Polynom</subfield><subfield code="0">(DE-588)4046711-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="3"><subfield code="a">Faktorisierung</subfield><subfield code="0">(DE-588)4128927-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Polynom</subfield><subfield code="0">(DE-588)4046711-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Automorphismus</subfield><subfield code="0">(DE-588)4143709-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="2"><subfield code="a">Funktionaldeterminante</subfield><subfield code="0">(DE-588)4417067-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Progress in mathematics</subfield><subfield code="v">190</subfield><subfield code="w">(DE-604)BV000004120</subfield><subfield code="9">190</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Augsburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009017256&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009017256</subfield></datafield></record></collection> |
| id | DE-604.BV013230597 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-21T00:12:57Z |
| institution | BVB |
| isbn | 3764363509 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009017256 |
| oclc_num | 247414701 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-29T DE-824 DE-703 DE-384 DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-29T DE-824 DE-703 DE-384 DE-11 |
| physical | XVIII, 329 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spelling | Essen, Arno van den Verfasser aut Polynomial automorphisms and the Jacobian Conjecture Arno van den Essen Basel [u.a.] Birkhäuser 2000 XVIII, 329 S. txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 190 Jacobi, Carl Gustav Jacob 1804-1851 (DE-588)118775766 gnd rswk-swf Polynom - Automorphismus - Funktionaldeterminante Automorphisms Jacobians 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 DE-604 Kommutative Algebra (DE-588)4164821-3 s Automorphismus (DE-588)4143709-3 s Funktionaldeterminante (DE-588)4417067-1 s Progress in mathematics 190 (DE-604)BV000004120 190 Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009017256&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Essen, Arno van den Polynomial automorphisms and the Jacobian Conjecture Progress in mathematics Jacobi, Carl Gustav Jacob 1804-1851 (DE-588)118775766 gnd Polynom - Automorphismus - Funktionaldeterminante Automorphisms Jacobians 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 Arno van den Essen |
| title_fullStr | Polynomial automorphisms and the Jacobian Conjecture Arno van den Essen |
| title_full_unstemmed | Polynomial automorphisms and the Jacobian Conjecture Arno van den Essen |
| title_short | Polynomial automorphisms and the Jacobian Conjecture |
| title_sort | polynomial automorphisms and the jacobian conjecture |
| topic | Jacobi, Carl Gustav Jacob 1804-1851 (DE-588)118775766 gnd Polynom - Automorphismus - Funktionaldeterminante Automorphisms Jacobians 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 Polynom - Automorphismus - Funktionaldeterminante Automorphisms Jacobians Automorphismus Faktorisierung Polynom Mathematisches Problem Kommutative Algebra Funktionaldeterminante |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009017256&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004120 |
| work_keys_str_mv | AT essenarnovanden polynomialautomorphismsandthejacobianconjecture |