Quadratic forms with applications to algebraic geometry and topology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
1995
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | London Mathematical Society: London Mathematical Society lecture note series
217 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 179 S. |
| ISBN: | 0521467551 |
Internformat
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| 245 | 1 | 0 | |a Quadratic forms with applications to algebraic geometry and topology |c Albrecht Pfister |
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| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 1995 | |
| 300 | |a VIII, 179 S. | ||
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Datensatz im Suchindex
| _version_ | 1804124924405612544 |
|---|---|
| adam_text | Contents
Preface vii
Chapter 1. The Representation Theorems of Cassels 1
1. Preliminaries on Quadratic Forms 1
2. The Main Theorem 6
3. The Subform Theorem 10
4. Appendix: The case char A = 2 12
Chapter 2. Multiplicative Quadratic Forms 19
1. The Theorem of Witt 19
2. The Multiplicative Forms 25
3. Classification of Multiplicative Forms. Consequences for W{K) . . 28
4. Appendix: The case char A = 2 34
Chapter 3. The Level of Fields, Rings, and Topological Spaces 40
1. The Level of Fields 40
2. The Level of Rings 43
3. The Level of Topological Spaces 46
Chapter 4. Hilbert s Homogeneous Nullstellensatz for p fields and
Applications to Topology 51
1. The Nullstellensatz 51
2. The Borsuk Ulam and Brouwer Theorems 59
Chapter 5. Tsen Lang Theory for Cf fields 64
1. The Main Theorems 64
2. Some Related Results and Conjectures 68
Chapter 6. Hilbert s 17th Problem 75
1. Preliminaries on Ordered and Real Fields 75
2. Artin s Solution and other Qualitative Results 82
3. Quantitative Bounds for the Number of Squares 88
Chapter 7. The Pythagoras Number 94
1. Results for Fields 94
2. Results for Kings 103
Chapter 8. The u invariant 110
1. Definitions and Examples 110
2. The Filtration of Elman and Lam 115
3. Various Further Results 120
4. Appendix: The case char K = 2 129
vi Contents
Chapter 9. Systems of Quadratic Forms 132
1. Some General Phenomena 132
2. Leep s Theorem 139
3. Systems over Real Fields 142
Chapter 10. The Level of Projective Spaces 153
1. Algebraic and Topological Preliminaries 153
2. The Level of RP2â„¢ 1 158
3. Estimates for the Level of Complex Projective Spaces 163
Bibliography 166
List of Symbols 176
Index 178
|
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| dewey-full | 512.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.74 |
| dewey-search | 512.74 |
| dewey-sort | 3512.74 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV010491708 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:53:23Z |
| institution | BVB |
| isbn | 0521467551 |
| language | English |
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| physical | VIII, 179 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society: London Mathematical Society lecture note series |
| series2 | London Mathematical Society: London Mathematical Society lecture note series |
| spelling | Pfister, Albrecht 1934- Verfasser (DE-588)11771805X aut Quadratic forms with applications to algebraic geometry and topology Albrecht Pfister 1. publ. Cambridge [u.a.] Cambridge Univ. Press 1995 VIII, 179 S. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society: London Mathematical Society lecture note series 217 Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Quadratische Form (DE-588)4128297-8 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Quadratische Form (DE-588)4128297-8 s Algebraische Geometrie (DE-588)4001161-6 s Topologie (DE-588)4060425-1 s DE-604 London Mathematical Society: London Mathematical Society lecture note series 217 (DE-604)BV000000130 217 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006990838&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pfister, Albrecht 1934- Quadratic forms with applications to algebraic geometry and topology London Mathematical Society: London Mathematical Society lecture note series Algebraische Geometrie (DE-588)4001161-6 gnd Quadratische Form (DE-588)4128297-8 gnd Topologie (DE-588)4060425-1 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4128297-8 (DE-588)4060425-1 |
| title | Quadratic forms with applications to algebraic geometry and topology |
| title_auth | Quadratic forms with applications to algebraic geometry and topology |
| title_exact_search | Quadratic forms with applications to algebraic geometry and topology |
| title_full | Quadratic forms with applications to algebraic geometry and topology Albrecht Pfister |
| title_fullStr | Quadratic forms with applications to algebraic geometry and topology Albrecht Pfister |
| title_full_unstemmed | Quadratic forms with applications to algebraic geometry and topology Albrecht Pfister |
| title_short | Quadratic forms with applications to algebraic geometry and topology |
| title_sort | quadratic forms with applications to algebraic geometry and topology |
| topic | Algebraische Geometrie (DE-588)4001161-6 gnd Quadratische Form (DE-588)4128297-8 gnd Topologie (DE-588)4060425-1 gnd |
| topic_facet | Algebraische Geometrie Quadratische Form Topologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006990838&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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