General Galois geometries:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Clarendon Press
1991
|
| Schriftenreihe: | Oxford mathematical monographs
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 407 S. |
| ISBN: | 0198535376 |
Internformat
MARC
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-003423923 | ||
Datensatz im Suchindex
| _version_ | 1804119684126081024 |
|---|---|
| adam_text | CONTENTS
PART V PG(n,q)
TERMINOLOGY xiii
22. QUADRICS 3
22.1 Canonical forms 3
22.2 Invariants 5
22.3 Tangency and polarity 9
22.4 Generators 15
22.5 Numbers of subspaces on a quadric 22
22.6 The orthogonal groups 24
22.7 The polarity reconsidered 31
22.8 Sections of non singular quadrics 34
22.9 Parabolic sections of parabolic quadrics 42
22.10 The characterization of quadrics 45
22.11 Notes and references 55
23. HERMITIAN VARIETIES 59
23.1 Introduction 59
23.2 Tangency and polarity 60
23.3 Generators and subgenerators 65
23.4 Sections of %„ 66
23.5 The characterization of Hermitian varieties 71
23.6 The characterization of projections of quadrics 83
23.7 Notes and references 99
24. GRASSMANN VARIETIES 100
24.1 Pliicker and Grassmann coordinates 100
24.2 Grassmann varieties 107
24.3 A characterization of Grassmann varieties 121
24.4 Embedding of Grassmann spaces 139
24.5 Notes and references 143
25. VERONESE AND SEGRE VARIETIES 145
25.1 Veronese varieties 145
25.2 First characterizations of the Veronesean V~ , with q odd 155
25.3 The Veronesean * * characterized by its number of common
points with the planes and primes of PG(5, q), for q odd 166
xii CONTENTS
25.4 Characterization of the quadric Veronesean f^ 178
25.5 Segre varieties 189
25.6 Regular n spreads and Segre varieties /[.„ 199
25.7 Notes and references 206
26. EMBEDDED GEOMETRIES 209
26.1 Polar spaces 209
26.2 Generalized quadrangles 212
26.3 Embedded Shult spaces 217
26.4 Characterizations of the classical generalized quadrangles 235
26.5 Partial geometries 245
26.6 Embedded partial geometries 248
26.7 (0, a) geometries and semi partial geometries 251
26.8 Embedded (0, a) geometries and semi partial geometries 260
26.9 Notes and references 279
27. ARCS AND CAPS 285
27.1 Introduction 285
27.2 Caps and codes 287
27.3 The maximum size of a cap for q odd 293
27.4 The maximum size of a cap for q even 299
27.5 General properties of fc arcs and normal rational curves 307
27.6 The maximum size of an arc and the characterization of
such arcs 314
27.7 Arcs and primals 320
27.8 Notes and references 343
APPENDIX VI. OVOIDS AND SPREADS OF FINITE
CLASSICAL POLAR SPACES 345
AVI.l Finite classical polar spaces 345
AVI.2 Ovoids and spreads of polar spaces 346
AVI.3 Existence of ovoids 346
AVI.4 Existence of spreads 347
AVI.5 Notes and references 348
APPENDIX VII. ERRATA for Finite projective spaces of three
dimensions and Projective geometries over finite fields 349
BIBLIOGRAPHY 351
INDEX OF NOTATION 388
AUTHOR INDEX 399
GENERAL INDEX 400
|
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| author_facet | Hirschfeld, James W. P. Thas, Joseph A. |
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| id | DE-604.BV005468749 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:30:06Z |
| institution | BVB |
| isbn | 0198535376 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003423923 |
| oclc_num | 246947034 |
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| owner_facet | DE-12 DE-739 DE-384 DE-703 DE-29T DE-20 DE-91G DE-BY-TUM DE-11 DE-188 |
| physical | XII, 407 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Clarendon Press |
| record_format | marc |
| series2 | Oxford mathematical monographs |
| spelling | Hirschfeld, James W. P. Verfasser aut General Galois geometries by J. W. P. Hirschfeld and J. A. Thas Oxford Clarendon Press 1991 XII, 407 S. txt rdacontent n rdamedia nc rdacarrier Oxford mathematical monographs Projektive Geometrie (DE-588)4047436-7 gnd rswk-swf Galois-Feld (DE-588)4155896-0 gnd rswk-swf Projektive Geometrie (DE-588)4047436-7 s Galois-Feld (DE-588)4155896-0 s DE-604 Thas, Joseph A. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003423923&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hirschfeld, James W. P. Thas, Joseph A. General Galois geometries Projektive Geometrie (DE-588)4047436-7 gnd Galois-Feld (DE-588)4155896-0 gnd |
| subject_GND | (DE-588)4047436-7 (DE-588)4155896-0 |
| title | General Galois geometries |
| title_auth | General Galois geometries |
| title_exact_search | General Galois geometries |
| title_full | General Galois geometries by J. W. P. Hirschfeld and J. A. Thas |
| title_fullStr | General Galois geometries by J. W. P. Hirschfeld and J. A. Thas |
| title_full_unstemmed | General Galois geometries by J. W. P. Hirschfeld and J. A. Thas |
| title_short | General Galois geometries |
| title_sort | general galois geometries |
| topic | Projektive Geometrie (DE-588)4047436-7 gnd Galois-Feld (DE-588)4155896-0 gnd |
| topic_facet | Projektive Geometrie Galois-Feld |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003423923&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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