Affine space fibrations:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin
De Gruyter
[2021]
|
| Schriftenreihe: | De Gruyter studies in mathematics
volume 79 |
| Schlagwörter: | |
| Links: | https://www.degruyter.com/books/9783110577365 https://d-nb.info/1227625960/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033756513&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XI, 346 Seiten 25 cm, 734 g |
| ISBN: | 9783110577365 3110577364 |
Internformat
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| 100 | 1 | |a Gurjar, Rajendra V. |d 1950- |e Verfasser |0 (DE-588)143437755 |4 aut | |
| 245 | 1 | 0 | |a Affine space fibrations |c Rajendra Vasant Gurjar, Kayo Masuda, Masayoshi Miyanishi |
| 264 | 1 | |a Berlin |b De Gruyter |c [2021] | |
| 300 | |a XI, 346 Seiten |c 25 cm, 734 g | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter studies in mathematics |v volume 79 | |
| 653 | |a Affine Ebene | ||
| 653 | |a Algebraische Geometrie | ||
| 653 | |a Algebraische Varietät | ||
| 653 | |a Faserung <Mathematik> | ||
| 653 | |a Kommutative Algebra | ||
| 700 | 1 | |a Masuda, Kayo |e Verfasser |0 (DE-588)1061107191 |4 aut | |
| 700 | 1 | |a Miyanishi, Masayoshi |d 1940- |e Verfasser |0 (DE-588)108355756 |4 aut | |
| 710 | 2 | |a Walter de Gruyter GmbH & Co. KG |0 (DE-588)10095502-2 |4 pbl | |
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Datensatz im Suchindex
| _version_ | 1819328999074037760 |
|---|---|
| adam_text | CONTENTS
PREFACE
-
V
1
PRELIMINARIES
-
1
1.1
TOPOLOGICAL
PRELIMINARIES
----
2
1.1.1
LOCAL
FUNDAMENTAL
GROUPS
AND
HOMOLOGY
GROUPS
----
2
1.1.2
COHOMOLOGY
WITH
COMPACT
SUPPORTS
----
3
1.1.3
DUALITY
FOR
SINGULAR
VARIETIES
----
4
1.1.4
THEOREM
OF
KAUP-NARASIMHAN-HAMM
----
5
1.1.5
EHRESMANN
S
FIBRATION
THEOREM
----
5
1.1.6
RESULTS
OF
M.
NORI
AND
XIAO
GANG
----
6
1.1.7
SOME
MORE
RESULTS
ON
THE
TOPOLOGY
OF
AN
ALGEBRAIC
VARIETY
----
8
1.1.8
SUZUKI-ZAIDENBERG
FORMULA
FOR
THE
TOPOLOGICAL
EULER-POINCARE
CHARACTERISTIC
----
10
1.1.9
FIXED
POINT
LOCUS
OF
A
G
FL
-ACTION
----
10
1.1.10
AN
APPLICATION
OF
TOPOLOGICAL
METHOD
----
10
1.2
LOGARITHMIC
KODAIRA
DIMENSION
AND
CHARACTERIZATIONS
OF
AFFINE
SPACES
-
11
1.3
TOPOLOGICAL
APPROACHES
TO
AFFINE
SURFACES
----
17
1.3.1
DERIVATIONS
AND
VECTOR
FIELDS
----
17
1.3.2
G
0
-ACTIONS
ON
A
----
18
1.3.3
THE
MAKAR-LIMANOV
INVARIANT
AND
AFFINE
LINES
ON
ML,
SURFACES
----
21
1.3.4
ASCENT
AND
DESCENT
OF
ML
0
PROPERTY
----
22
1.3.5
A
-FIBRATION
OVER
A
COMPLETE
CURVE
----
23
1
1.3.6
THE
AMS
THEOREM
23
1.3.7
THE
LIN-ZAIDENBERG
THEOREM
----
24
1.3.8
SMOOTH
AFFINE
SURFACES
WITH
AN
A*-FIBRATION
-----24
1.3.9
THEOREM
OF
MUMFORD
25
1.3.10
THEOREM
OF
RAMANUJAM
27
1.3.11
SOME
MORE
APPLICATIONS
OF
MUMFORD
S
IDEAS
----
28
1.3.12
SURFACES
WITH
FINITE
FUNDAMENTAL
GROUP
AT
INFINITY
----
29
1.3.13
A
TOPOLOGICAL
CHARACTERIZATION
OF
A
/G
----
31
2
1.3.14
COFINITE
SUBALGEBRAS
OF
C[X,Y]
----
32
1.4
PROOFS
OF
AMS
AND
LIN-ZAIDENBERG
THEOREMS
----
32
1.4.1
NECESSARY
RESULTS
FROM
THEORY
OF
OPEN
ALGEBRAIC
SURFACES
----
32
1.4.2
PROOF
OF
AMS
THEOREM
----
35
1.4.3
PROOF
OF
LIN-ZAIDENBERG
THEOREM
-----38
1.5 PROBLEMS
FOR
CHAPTER
1
-
41
2
ALGEBRAIC
SURFACES
WITH
FIBRATIONS
-
57
2.1
A
1
-FIBRATIONS
AND
P
1
-FIBRATIONS
----
59
X
-
CONTENTS
2.2
G
O
-ACTIONS
ON
AFFINE
VARIETIES
AND
LOCALLY
NILPOTENT
DERIVATIONS
----
67
2.2.1
G
A
-ACTIONS,
QUOTIENT
MORPHISMS,
AND
A?-FIBRATIONS
----
67
2.2.2
MORE
RESULTS
ON
GROUP
ACTIONS
----
74
2.2.3
LIFTABILITY
OF
G
0
-ACTIONS
UNDER
FINITE
EXTENSIONS
----
78
2.2.4
LIFTABILITY
OF
DERIVATIONS
FOR
FINITE
EXTENSIONS
AND
SCHEJA-STORCH
THEOREM
----
82
2.2.5
LOCALLY
FINITE
DERIVATIONS
----
85
2.3
PROPER
G
FL
-ACTIONS
AND
SESHADRI
THEOREM
----
91
2.4
G
A
-ACTIONS
ON
PROJECTIVE
VARIETIES
-----
101
2.4.1
VECTOR
FIELDS
ON
PROJECTIVE
VARIETIES
----
101
2.4.2
UNIPOTENT
VARIETIES
----
108
2.4.3
AFFINE
VARIETIES
WITH
ABUNDANT
G
FL
-ACTIONS
----
116
2.4.4
G0
-ACTIONS
ON
PROJECTIVE
VARIETIES
AND
ORBIT
STRATIFICATIONS
----
124
2.5
FIBRATIONS
ON
ALGEBRAIC
SURFACES
----
132
2.6
ML
0
-SURFACES
----
140
2.6.1
GIZATULLIN
THEOREM
-----
140
2.6.2
TOPOLOGY
AND
STRUCTURE
OF
ML
0
-SURFACES
-------
144
2.6.3
AN
ANALOGUE
OF
ABHYANKAR-MOH-SUZUKI
THEOREM
----
149
2.7
MLI-SURFACES
----
157
2.7.1
BOUNDARY
DIVISORS
OF
MLJ-SURFACES
----
157
2.7.2
ML
(
-PROPERTY
AND
/-RULEDNESS
----
160
2.7.3
EXHAUSTION
OF
AFFINE
LINES
IN
ML
R
SURFACES
----
163
2.8
TOPOLOGY
AND
GEOMETRY
OF
ML
0
-SURFACES
-------
164
2.8.1
ASCENT
AND
DESCENT
OF
THE
ML
0
-PROPERTY
-------
164
2.8.2
UNIVERSAL
COVERINGS
OF
ML
0
-SURFACES
WITH
P
=
0
-----
171
2.8.3
DERKSEN
INVARIANTS
AND
ML
0
-SURFACES
----
172
2.8.4
ML
0
-SURFACES
NOT
CONTAINING
A
----
174
2
3
FIBRATIONS
IN
HIGHER
DIMENSION
----
227
3.1
A
1
-FIBRATIONS
IN
HIGHER
DIMENSION
----
229
3.1.1
MOTIVATION
AND
SUMMARY
OF
PRINCIPAL
RESULTS
----
229
3.1.2
A
1
-FIBRATIONS
AND
G
O
-ACTIONS
IN
HIGHER
DIMENSION
----
231
3.1.3
A^FIBRATIONS
OVER
SURFACES
----
238
3.1.4
FIXED
POINT
LOCUS
OF
G
A
-ACTIONS
----
247
2.9
DEFORMATIONS
OF
A
-FIBRATIONS
-------
179
1
2.9.1
MOTIVATION
----
179
2.9.2
TRIVIALITY
OF
DEFORMATIONS
OF
LOCALLY
NILPOTENT
DERIVATIONS
----
181
2.9.3
DEFORMATIONS
OF
A
-FIBRATIONS
OF
AFFINE
TYPE
----
184
1
2.9.4
TOPOLOGICAL
ARGUMENTS
INSTEAD
OF
HILBERT
SCHEMES
----
201
2.9.5
DEFORMATIONS
OF
ML
0
-SURFACES
----
202
2.9.6
DEFORMATIONS
OF
A
-FIBRATIONS
OF
COMPLETE
TYPE
----
207
1
2.10
PROBLEMS
FOR
CHAPTER
2
----
211
3
CONTENTS
-
XI
BIBLIOGRAPHY
-
333
3.1.5
DEGENERATE
FIBERS
OF
THE
QUOTIENT
MORPHISM
AND
SINGULARITIES
OF
THE
QUOTIENT
SPACE
----
250
3.1.6
3.2
3.2.1
3.2.2
3.3
3.3.1
3.3.2
3.4
3.4.1
3.4.2
3.4.3
3.5
3.5.1
3.5.2
3.5.3
3.5.4
3.5.5
3.5.6
3.6
3.7
KERNEL
OF
A
VECTOR
FIELD
ON
K[X,Y,Z]
----
256
HOMOLOGY
AND
CONTRACTIBLE
SPACES
----
260
A
TOPOLOGICAL
PROOF
OF
A
3
//G
O
S
A
2
----
260
HOMOLOGY
3-SPACES
WITH
A
1
-FIBRATIONS
----
264
A
3
-FIBRATIONS
IN
HIGHER
DIMENSION
----
270
A*-FIBRATION
----
270
CONTRACTIBLE
3-SPACES
WITH
A
3
-FIBRATIONS
----
285
ALGEBRAIC
VARIETIES
WITH
A
N
-FIBRATIONS
----
292
VARIETIES
OF
DIMENSION
N
+1
WITH
A
-CYLINDERS
----
292
HYPERSURFACES
X
M
Y
=
F(X,Z
LY
..
.
,Z
N
-I)
----
297
THE
ML-INVARIANT
OF
AFFINE
PSEUDO-3-SPACES
----
302
MORE
ON
G
A
-ACTIONS
ON
AFFINE
THREEFOLDS
----
308
SUPPLEMENTS
ON
P
1
-FIBRATIONS
----
308
THE
QUOTIENT
SURFACE
OF
A
SMOOTH
AFFINE
THREEFOLDS
BY
G
FL
-ACTIONS
----
311
SINGULARITIES
OF
THE
QUOTIENT
SURFACE
X//G
A
----
313
MAKAR-LIMANOV
INVARIANT
----
316
SINGULAR
FIBERS
OF
THE
G
A
-QUOTIENT
MORPHISM
----
317
LOCUS
OF
SINGULAR
FIBERS
----
322
PROBLEMS
FOR
CHAPTER
3
----
322
OPEN
PROBLEMS
----
330
INDEX
----
343
|
| any_adam_object | 1 |
| author | Gurjar, Rajendra V. 1950- Masuda, Kayo Miyanishi, Masayoshi 1940- |
| author_GND | (DE-588)143437755 (DE-588)1061107191 (DE-588)108355756 |
| author_facet | Gurjar, Rajendra V. 1950- Masuda, Kayo Miyanishi, Masayoshi 1940- |
| author_role | aut aut aut |
| author_sort | Gurjar, Rajendra V. 1950- |
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| bvnumber | BV048377603 |
| ctrlnum | (OCoLC)1269503480 (DE-599)DNB1227625960 |
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| id | DE-604.BV048377603 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T19:43:14Z |
| institution | BVB |
| institution_GND | (DE-588)10095502-2 |
| isbn | 9783110577365 3110577364 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033756513 |
| oclc_num | 1269503480 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | XI, 346 Seiten 25 cm, 734 g |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | De Gruyter |
| record_format | marc |
| series | De Gruyter studies in mathematics |
| series2 | De Gruyter studies in mathematics |
| spellingShingle | Gurjar, Rajendra V. 1950- Masuda, Kayo Miyanishi, Masayoshi 1940- Affine space fibrations De Gruyter studies in mathematics |
| title | Affine space fibrations |
| title_auth | Affine space fibrations |
| title_exact_search | Affine space fibrations |
| title_full | Affine space fibrations Rajendra Vasant Gurjar, Kayo Masuda, Masayoshi Miyanishi |
| title_fullStr | Affine space fibrations Rajendra Vasant Gurjar, Kayo Masuda, Masayoshi Miyanishi |
| title_full_unstemmed | Affine space fibrations Rajendra Vasant Gurjar, Kayo Masuda, Masayoshi Miyanishi |
| title_short | Affine space fibrations |
| title_sort | affine space fibrations |
| url | https://www.degruyter.com/books/9783110577365 https://d-nb.info/1227625960/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033756513&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005407 |
| work_keys_str_mv | AT gurjarrajendrav affinespacefibrations AT masudakayo affinespacefibrations AT miyanishimasayoshi affinespacefibrations AT walterdegruytergmbhcokg affinespacefibrations |