Differential Galois theory in positive characteristic:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Heidelberg
IWR
2001
|
| Series: | Preprint / Interdisziplinäres Zentrum für Wissenschaftliches Rechnen
2001,35 |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Auch im Internet unter der Adresse www.iwr.uni-heidelberg.de/sfb/Preprints.html verfügbar |
| Physical Description: | IV, 98 S. |
Staff View
MARC
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| 100 | 1 | |a Matzat, Bernd Heinrich |d 1945- |e Verfasser |0 (DE-588)120310589 |4 aut | |
| 245 | 1 | 0 | |a Differential Galois theory in positive characteristic |c B. Heinrich Matzat. Ruprecht-Karls-Universität Heidelberg, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen |
| 264 | 1 | |a Heidelberg |b IWR |c 2001 | |
| 300 | |a IV, 98 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Preprint / Interdisziplinäres Zentrum für Wissenschaftliches Rechnen |v 2001,35 | |
| 500 | |a Auch im Internet unter der Adresse www.iwr.uni-heidelberg.de/sfb/Preprints.html verfügbar | ||
| 810 | 2 | |a Interdisziplinäres Zentrum für Wissenschaftliches Rechnen |t Preprint |v 2001,35 |w (DE-604)BV005600191 |9 2001,35 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009824039&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009824039 | |
Record in the Search Index
| _version_ | 1807229144347443200 |
|---|---|
| adam_text |
TABLE
OF
CONTENTS
TABLE
OF
CONTENTS
I
INTRODUCTION
III
1
ITERATIVE
DIFFERENTIATION
1
1.1
ITERATIVE
DIFFERENTIAL
RINGS
.
1
1.2
ITERATIVE
DIFFERENTIAL
HOMOMORPHISMS
AND
IDEALS
.
3
1.3
EXTENDING
ITERATIVE
DERIVATIONS
.
5
1.4
THE
WRONSKIAN
DETERMINANT
.
6
1.5
ITERATIVE
DERIVATIONS
ON
ALGEBRAIC
FUNCTION
FIELDS
.
9
2
ITERATIVE
DIFFERENTIAL
MODULES
AND
EQUATIONS
11
2.1
ITERATIVE
DIFFERENTIAL
MODULES
.
11
2.2
PROJECTIVE
SYSTEMS
.
14
2.3
ITERATIVE
DIFFERENTIAL
EQUATIONS
.
16
2.4
FROBENIUS
MODULES
.
18
3
ITERATIVE
PICARD-VESSIOT
EXTENSIONS
21
3.1
ITERATIVE
PICARD-VESSIOT
RINGS
.
21
3.2
THE
ITERATIVE
DIFFERENTIAL
GALOIS
GROUP
.
24
3.3
FINITE
GROUPS
.
27
3.4
GROUPS
OF
DIMENSION
ONE
.
28
4
FUNDAMENTAL
THEOREMS
OF
ITERATIVE
DIFFERENTIAL
GALOIS
THEORY
33
4.1
KOLCHIN
'
S
THEOREM
.
33
4.2
THE
GALOIS
CORRESPONDENCE
.
36
4.3
CHARACTERIZATION
OF
ITERATIVE
PICARD-VESSIOT
EXTENSIONS
.
39
5
ON
THE
CONSTRUCTION
OF
ITERATIVE
DIFFERENTIAL
MODULES
43
5.1
AN
UPPER
BOUND
ON
THE
DIFFERENTIAL
GALOIS
GROUP
.
43
5.2
EFFECTIVE
DIFFERENTIAL
GALOIS
EXTENSIONS
.
45
5.3
ITERATIVE
DIFFERENTIAL
EMBEDDING
PROBLEMS
.
47
5.4
EFFECTIVE
EMBEDDING
PROBLEMS
.
49
II
TABLE
OF
CONTENTS
6
LOCAL
ITERATIVE
DIFFERENTIAL
MODULES
53
6.1
DECOMPOSITION
INTO
EIGENSPACES
.
53
6.2
REGULAR
SINGULAR
ITERATIVE
DIFFERENTIAL
MODULES
.
55
6.3
THE
STRUCTURE
OF
LOCAL
ITERATIVE
DIFFERENTIAL
MODULES
.
58
6.4
THE
CONNECTED
LOCAL
INVERSE
PROBLEM
.
60
7
GLOBAL
ITERATIVE
DIFFERENTIAL
MODULES
63
7.1
REGULAR
POINTS
.
63
7.2
REALIZATIONS
OF
CONNECTED
NILPOTENT
GROUPS
.
65
7.3
EXISTENCE
OF
EFFECTIVE
DIFFERENTIAL
GALOIS
EXTENSIONS
.
67
7.4
REALIZATION
OF
CONNECTED
GROUPS
.
69
8
EMBEDDING
PROBLEMS
WITH
FINITE
COKERNEL
73
8.1
SPLIT
EMBEDDING
PROBLEMS
WITH
FINITE
COKERNEL
.
73
8.2
THE
LOCAL
INVERSE
PROBLEM
.
76
8.3
THE
GLOBAL
INVERSE
PROBLEM
.
78
8.4
THE
DIFFERENTIAL
ABHYANKAR-CONJECTURE
.
82
9
BOUNDED
P-ADIC
DIFFERENTIAL
EQUATIONS
85
9.1
P-ADIC
DIFFERENTIAL
MODULES
.
85
9.2
THE
GENERIC
DISK
.
88
9.3
LIFTING
ITERATIVE
DIFFERENTIAL
MODULES
.
90
9.4
REDUCTION
OF DIFFERENTIAL
GALOIS
GROUPS
.
91
INDEX
OF
NOTATION
95
INDEX
97
BIBLIOGRAPHY
99 |
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| author_sort | Matzat, Bernd Heinrich 1945- |
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| bvnumber | BV014319354 |
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| indexdate | 2024-08-13T00:13:37Z |
| institution | BVB |
| language | English |
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| physical | IV, 98 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
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| publisher | IWR |
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| series2 | Preprint / Interdisziplinäres Zentrum für Wissenschaftliches Rechnen |
| spelling | Matzat, Bernd Heinrich 1945- Verfasser (DE-588)120310589 aut Differential Galois theory in positive characteristic B. Heinrich Matzat. Ruprecht-Karls-Universität Heidelberg, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen Heidelberg IWR 2001 IV, 98 S. txt rdacontent n rdamedia nc rdacarrier Preprint / Interdisziplinäres Zentrum für Wissenschaftliches Rechnen 2001,35 Auch im Internet unter der Adresse www.iwr.uni-heidelberg.de/sfb/Preprints.html verfügbar Interdisziplinäres Zentrum für Wissenschaftliches Rechnen Preprint 2001,35 (DE-604)BV005600191 2001,35 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009824039&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Matzat, Bernd Heinrich 1945- Differential Galois theory in positive characteristic |
| title | Differential Galois theory in positive characteristic |
| title_auth | Differential Galois theory in positive characteristic |
| title_exact_search | Differential Galois theory in positive characteristic |
| title_full | Differential Galois theory in positive characteristic B. Heinrich Matzat. Ruprecht-Karls-Universität Heidelberg, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen |
| title_fullStr | Differential Galois theory in positive characteristic B. Heinrich Matzat. Ruprecht-Karls-Universität Heidelberg, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen |
| title_full_unstemmed | Differential Galois theory in positive characteristic B. Heinrich Matzat. Ruprecht-Karls-Universität Heidelberg, Interdisziplinäres Zentrum für Wissenschaftliches Rechnen |
| title_short | Differential Galois theory in positive characteristic |
| title_sort | differential galois theory in positive characteristic |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009824039&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005600191 |
| work_keys_str_mv | AT matzatberndheinrich differentialgaloistheoryinpositivecharacteristic |