Real and étale cohomology:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1994
|
| Series: | Lecture notes in mathematics
1588 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXIV, 273 S. graph. Darst. |
| ISBN: | 3540584366 |
Staff View
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| 100 | 1 | |a Scheiderer, Claus |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Real and étale cohomology |c Claus Scheiderer |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1994 | |
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| 490 | 1 | |a Lecture notes in mathematics |v 1588 | |
| 502 | |a Zugl.: Regensburg, Univ., Habil.-Schr., 1992 | ||
| 650 | 7 | |a Cohomologie réelle |2 Jussieu | |
| 650 | 7 | |a Cohomologie étale |2 Jussieu | |
| 650 | 7 | |a Geometrische algebra |2 gtt | |
| 650 | 4 | |a Géométrie algébrique | |
| 650 | 7 | |a Géométrie algébrique |2 ram | |
| 650 | 4 | |a Homologie | |
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| 650 | 7 | |a Homologie |2 ram | |
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| 650 | 4 | |a Geometry, Algebraic | |
| 650 | 4 | |a Homology theory | |
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Record in the Search Index
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| adam_text | Contents
Introduction vii
Leitfaden .............. xvii
General notations and conventions xviii
Part One
1. Real spectrum and real etale site 1
2. Glueing etale and real etale site 9
3. Limit theorems, stalks, and other basic facts 18
4. Some reminders on Weil restrictions 30
5. Real spectrum of X and etale site of X [y/— 1] 42
6. The fundamental long exact sequence 56
7. Cohomological dimension of Xk, I: Reduction to the field case . . 68
8. Equivariant sheaves for actions of topological groups .... 87
9. Cohomological dimension of Xb, II: The field case .... 96
Part Two
10. G toposes 107
11. Inverse limits of G toposes: Two examples 128
11.1 Example 1: The real topos of a scheme 128
11.2 Example 2: Group extensions 133
12. High degree cohomology of profinite groups 143
13. Group actions on spaces: Topological versus topos theoretic constructions 161
14. Quotient topos of a G topos, for G of prime order .... 166
Part Three
15. Comparison theorems 173
16. Base change theorems 180
17. Constructible sheaves and finiteness theorems 191
18. Cohomology of affine varieties 205
19. Relations to the Zariski topology 212
20. Examples and complements 219
20.1 Cohomology of smooth real curves 219
20.2 Examples of sheaves 227
20.3 Fields revisited 236
20.4 Some historical remarks 240
Appendix A: Some complements on spectral spaces 245
Appendix B: Cohomology of Artin Schreier structures .... 251
References 263
Symbol Index 267
Subject Index 272
|
| any_adam_object | 1 |
| author | Scheiderer, Claus |
| author_facet | Scheiderer, Claus |
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| author_sort | Scheiderer, Claus |
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| bvnumber | BV009790290 |
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| classification_rvk | SI 850 SK 320 |
| classification_tum | MAT 143d MAT 552d |
| ctrlnum | (OCoLC)31011145 (DE-599)BVBBV009790290 |
| dewey-full | 510 514/.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 514 - Topology |
| dewey-raw | 510 514/.23 |
| dewey-search | 510 514/.23 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| id | DE-604.BV009790290 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:40:55Z |
| institution | BVB |
| isbn | 3540584366 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006477416 |
| oclc_num | 31011145 |
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| physical | XXIV, 273 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Scheiderer, Claus Verfasser aut Real and étale cohomology Claus Scheiderer Berlin [u.a.] Springer 1994 XXIV, 273 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1588 Zugl.: Regensburg, Univ., Habil.-Schr., 1992 Cohomologie réelle Jussieu Cohomologie étale Jussieu Geometrische algebra gtt Géométrie algébrique Géométrie algébrique ram Homologie Homologie gtt Homologie ram Structure Artin-Schreier Jussieu Topos Jussieu Geometry, Algebraic Homology theory Etalkohomologie (DE-588)4153071-8 gnd rswk-swf Kohomologie (DE-588)4031700-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Kohomologie (DE-588)4031700-6 s DE-604 Etalkohomologie (DE-588)4153071-8 s Lecture notes in mathematics 1588 (DE-604)BV000676446 1588 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006477416&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Scheiderer, Claus Real and étale cohomology Lecture notes in mathematics Cohomologie réelle Jussieu Cohomologie étale Jussieu Geometrische algebra gtt Géométrie algébrique Géométrie algébrique ram Homologie Homologie gtt Homologie ram Structure Artin-Schreier Jussieu Topos Jussieu Geometry, Algebraic Homology theory Etalkohomologie (DE-588)4153071-8 gnd Kohomologie (DE-588)4031700-6 gnd |
| subject_GND | (DE-588)4153071-8 (DE-588)4031700-6 (DE-588)4113937-9 |
| title | Real and étale cohomology |
| title_auth | Real and étale cohomology |
| title_exact_search | Real and étale cohomology |
| title_full | Real and étale cohomology Claus Scheiderer |
| title_fullStr | Real and étale cohomology Claus Scheiderer |
| title_full_unstemmed | Real and étale cohomology Claus Scheiderer |
| title_short | Real and étale cohomology |
| title_sort | real and etale cohomology |
| topic | Cohomologie réelle Jussieu Cohomologie étale Jussieu Geometrische algebra gtt Géométrie algébrique Géométrie algébrique ram Homologie Homologie gtt Homologie ram Structure Artin-Schreier Jussieu Topos Jussieu Geometry, Algebraic Homology theory Etalkohomologie (DE-588)4153071-8 gnd Kohomologie (DE-588)4031700-6 gnd |
| topic_facet | Cohomologie réelle Cohomologie étale Geometrische algebra Géométrie algébrique Homologie Structure Artin-Schreier Topos Geometry, Algebraic Homology theory Etalkohomologie Kohomologie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006477416&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT scheidererclaus realandetalecohomology |