Weight filtration and slope filtration on the rigid cohomology of a variety in characteristic p>0:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Paris
Soc. Math. de France
2012
|
| Series: | Mémoires de la SMF
130/131 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Item Description: | Literaturverz. S. 243 - 250 |
| Physical Description: | VI, 250 S. |
| ISBN: | 9782856293768 |
Staff View
MARC
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| 245 | 1 | 0 | |a Weight filtration and slope filtration on the rigid cohomology of a variety in characteristic p>0 |c Yukiyoshi Nakkajima |
| 264 | 1 | |a Paris |b Soc. Math. de France |c 2012 | |
| 300 | |a VI, 250 S. | ||
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| 490 | 1 | |a Mémoires de la SMF |v 130/131 | |
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Record in the Search Index
| _version_ | 1804151507300384768 |
|---|---|
| adam_text | CONTENTS
1.
Introduction
....................................................... 1
Part I. Weight filtration on the log crystalline cohomology of
a simplicial family of open smooth varieties in characteristic
ρ
> 0 .................................................................. 23
2.
Preliminaries on filtered derived categories
......................... 23
3.
Review on
(pre)
weight-filtered vanishing cycle (restricted) crystalline
and zariskian complexes
.......................................... 29
4.
Generalized descriptions of preweight-fil
tered
vanishing cycle
(restricted) crystalline and zariskian complexes
................... 43
5.
p-adic weight spectral sequence
.................................... 66
6.
Explicit description of the truncated cosimplicial preweight-filtered
vanishing cycle zariskian complex
................................. 76
7.
Cosimplicial filtered log
de Rham-Witt
complex
................... 95
8.
Complements
......................................................104
Part II. Weight filtration and slope filtration on the rigid
cohomology of a separated scheme of finite type over a perfect
field of characteristic p>
0 .........................................107
9.
Proper hypercoverings
.............................................107
10.
Truncated cosimplicial rigid cohomological complex
..............116
11.
Comparison theorem between rigid cohomology and log crystalline
cohomology
.......................................................138
12.
Weight filtration on rigid cohomology
.............................165
13.
Slope filtration on rigid cohomology
..............................174
Part III. Weight nitrations and slope nitrations on rigid
cohomologies with closed support and with compact support
183
vi
CONTENTS
14.
Mapping fiber and mapping cone in log crystalline cohomology
... 183
15.
Mapping fiber and mapping cone in rigid cohomology
............200
16.
Rigid cohomology with closed support
............................203
17.
Rigid cohomology with compact support
.........................222
Bibliography
..........................................................243
MÉMOIRES DE LA SNfF
130/131
We construct a theory of weights on the rigid cohomology of a sepa¬
rated scheme of finite type over a perfect field of characteristic
ρ
> 0
by
using the log crystalline cohomology of a split proper hypercovering of
the scheme. We also calculate the slope filtration on the rigid cohomol¬
ogy by using the cohomology of the log
de Rham-Witt
complex of the
hypercovering.
|
| any_adam_object | 1 |
| author | Nakkajima, Yukiyoshi |
| author_GND | (DE-588)136289142 |
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| author_role | aut |
| author_sort | Nakkajima, Yukiyoshi |
| author_variant | y n yn |
| building | Verbundindex |
| bvnumber | BV041401563 |
| ctrlnum | (OCoLC)862553904 (DE-599)GBV770927319 |
| format | Book |
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| id | DE-604.BV041401563 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:55:55Z |
| institution | BVB |
| isbn | 9782856293768 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026849074 |
| oclc_num | 862553904 |
| open_access_boolean | |
| owner | DE-703 DE-824 DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-83 DE-29T |
| owner_facet | DE-703 DE-824 DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-83 DE-29T |
| physical | VI, 250 S. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Soc. Math. de France |
| record_format | marc |
| series | Mémoires de la SMF |
| series2 | Mémoires de la SMF |
| spelling | Nakkajima, Yukiyoshi Verfasser (DE-588)136289142 aut Weight filtration and slope filtration on the rigid cohomology of a variety in characteristic p>0 Yukiyoshi Nakkajima Paris Soc. Math. de France 2012 VI, 250 S. txt rdacontent n rdamedia nc rdacarrier Mémoires de la SMF 130/131 Literaturverz. S. 243 - 250 Kristalline Kohomologie (DE-588)4494390-8 gnd rswk-swf Kristalline Kohomologie (DE-588)4494390-8 s DE-604 Mémoires de la SMF 130/131 (DE-604)BV000000921 130/131 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026849074&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026849074&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Nakkajima, Yukiyoshi Weight filtration and slope filtration on the rigid cohomology of a variety in characteristic p>0 Mémoires de la SMF Kristalline Kohomologie (DE-588)4494390-8 gnd |
| subject_GND | (DE-588)4494390-8 |
| title | Weight filtration and slope filtration on the rigid cohomology of a variety in characteristic p>0 |
| title_auth | Weight filtration and slope filtration on the rigid cohomology of a variety in characteristic p>0 |
| title_exact_search | Weight filtration and slope filtration on the rigid cohomology of a variety in characteristic p>0 |
| title_full | Weight filtration and slope filtration on the rigid cohomology of a variety in characteristic p>0 Yukiyoshi Nakkajima |
| title_fullStr | Weight filtration and slope filtration on the rigid cohomology of a variety in characteristic p>0 Yukiyoshi Nakkajima |
| title_full_unstemmed | Weight filtration and slope filtration on the rigid cohomology of a variety in characteristic p>0 Yukiyoshi Nakkajima |
| title_short | Weight filtration and slope filtration on the rigid cohomology of a variety in characteristic p>0 |
| title_sort | weight filtration and slope filtration on the rigid cohomology of a variety in characteristic p 0 |
| topic | Kristalline Kohomologie (DE-588)4494390-8 gnd |
| topic_facet | Kristalline Kohomologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026849074&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026849074&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000921 |
| work_keys_str_mv | AT nakkajimayukiyoshi weightfiltrationandslopefiltrationontherigidcohomologyofavarietyincharacteristicp0 |