Analytic methods in algebraic geometry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Somerville, Mass.
International Press [u.a.]
2012
|
| Series: | Surveys of modern mathematics
1 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 231 S. graph. Darst. |
| ISBN: | 9781571462343 1571462341 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
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| 001 | BV041727770 | ||
| 003 | DE-604 | ||
| 005 | 20141107 | ||
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| 008 | 140311s2012 d||| |||| 00||| eng d | ||
| 020 | |a 9781571462343 |9 978-1-57146-234-3 | ||
| 020 | |a 1571462341 |9 1-571-46234-1 | ||
| 035 | |a (OCoLC)876773462 | ||
| 035 | |a (DE-599)BSZ367338254 | ||
| 040 | |a DE-604 |b ger | ||
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| 049 | |a DE-19 |a DE-703 |a DE-11 | ||
| 084 | |a SK 240 |0 (DE-625)143226: |2 rvk | ||
| 100 | 1 | |a Demailly, Jean-Pierre |d 1957- |e Verfasser |0 (DE-588)172040183 |4 aut | |
| 245 | 1 | 0 | |a Analytic methods in algebraic geometry |c by Jean-Pierre Demailly |
| 264 | 1 | |a Somerville, Mass. |b International Press [u.a.] |c 2012 | |
| 300 | |a 231 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Surveys of modern mathematics |v 1 | |
| 650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Surveys of modern mathematics |v 1 |w (DE-604)BV041123344 |9 1 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-027174611 | ||
Record in the Search Index
| _version_ | 1804152009496985600 |
|---|---|
| adam_text | CONTENTS
INTRODUCTION
...........................................................................1
CHAPTER
1.
PRELIMINARY
MATERIAL:
COHOMOLOGY,
CURRENTS................5
L.A.
DOLBEAULT
COHOMOLOGY
AND
SHEAF
COHOMOLOGY..........................................5
L.B.
PLURISUBHARMONIC
FUNCTIONS............................................................6
1.
C.
POSITIVE
CURRENTS.......................................................................9
CHAPTER
2.
LELONG
NUMBERS
AND
INTERSECTION
THEORY....................15
2.
A.
MULTIPLICATION
OF
CURRENTS
AND
MONGE-AMPERE
OPERATORS...........................15
2.B.
LELONG
NUMBERS.......................................................................18
CHAPTER
3.
HERMITIAN
VECTOR
BUNDLES,
CONNECTIONS
AND
CURVATURE
.
25
CHAPTER
4.
BOCHNER
TECHNIQUE
AND
VANISHING
THEOREMS...............31
4.A.
LAPLACE-BELTRAMI
OPERATORS
AND
HODGE
THEORY........................................31
4.B.
SERRE
DUALITY
THEOREM................................................................32
4.C.
BOCHNER-KODAIRA-NAKANO
IDENTITY
ON
KAHLER
MANIFOLDS
................................33
4.
D.
VANISHING
THEOREMS...................................................................34
CHAPTER
5.
L
2
ESTIMATES
AND
EXISTENCE
THEOREMS........................37
5.
A.
BASIC
L?
EXISTENCE
THEOREMS.........................................................37
5.
B.
MULTIPLIER
IDEAL
SHEAVES
AND
NADEL
VANISHING
THEOREM............................39
CHAPTER
6.
NUMERICALLY
EFFECTIVE
AND
PSEUDO-EFFECTIVE
LINE
BUNDLES
47
6.
A.
PSEUDO-EFFECTIVE
LINE
BUNDLES
AND
METRICS
WITH
MINIMAL
SINGULARITIES..............47
6.B.
NEF
LINE
BUNDLES......................................................................49
6.C.
DESCRIPTION
OF
THE
POSITIVE
CONES......................................................51
6.D.
THE
KAWAMATA-VIEHWEG
VANISHING
THEOREM...........................................56
6.E.
A
UNIFORM
GLOBAL
GENERATION
PROPERTY
DUE
TO
Y.T.
SIU..........................58
CHAPTER
7.
A
SIMPLE
ALGEBRAIC
APPROACH
TO
FUJITA*S
CONJECTURE.....61
CHAPTER
8.
HOLOMORPHIC
MORSE
INEQUALITIES................................71
8.A.
GENERAL
ANALYTIC
STATEMENT
ON
COMPACT
COMPLEX
MANIFOLDS.......................71
8.B.
ALGEBRAIC
COUNTERPARTS
OF
THE
HOLOMORPHIC
MORSE
INEQUALITIES.....................72
8.C.
ASYMPTOTIC
COHOMOLOGY
GROUPS......................................................74
8.D.
TRANSCENDENTAL
ASYMPTOTIC
COHOMOLOGY
FUNCTIONS....................................78
CHAPTER
9.
EFFECTIVE
VERSION
OF
MATSUSAKA*S
BIG
THEOREM.............83
CHAPTER
10.
POSITIVITY
CONCEPTS
FOR
VECTOR
BUNDLES.....................89
CHAPTER
11.
SKODA*S
L
2
ESTIMATES
FOR
SURJECTIVE
BUNDLE
MORPHISMS...
99
LL.A.
SURJECTIVITY
AND
DIVISION
THEOREMS...................................................99
11.B.
APPLICATIONS
TO
LOCAL
ALGEBRA:
THE
BRIANCON-SKODA
THEOREM........................105
ANALYTIC
METHODS
IN
ALGEBRAIC
GEOMETRY
CHAPTER
12.
THE
OHSAWA-TAKEGOSHI
L
2
EXTENSION
THEOREM..........ILL
12.A.
THE
BASIC
A
PRIORI
INEQUALITY.......................................................ILL
12.B.
ABSTRACT
L
2
EXISTENCE
THEOREM
FOR
SOLUTIONS
OF
9-EQUATIONS....................112
12.C.
THE
L
2
EXTENSION
THEOREM.........................................................114
12.
D.
SKODA*S
DIVISION
THEOREM
FOR
IDEALS
OF
HOLOMORPHIC
FUNCTIONS.......................122
CHAPTER
13.
APPROXIMATION
OF
CLOSED
POSITIVE
CURRENTS
BY
ANALYTIC
CYCLES................................................................127
13.
A.
APPROXIMATION
OF
PLURISUBHARMONIC
FUNCTIONS
VIA
BERGMAN
KERNELS.................127
13.B.
GLOBAL
APPROXIMATION
OF
CLOSED
(L,L)-CURRENTS
ON
A
COMPACT
COMPLEX
MANIFOLD----129
13.C.
GLOBAL
APPROXIMATION
BY
DIVISORS...................................................136
13.D.
SINGULARITY
EXPONENTS
AND
LOG
CANONICAL
THRESHOLDS................................143
13.E.
HODGE
CONJECTURE
AND
APPROXIMATION
OF
(P,
P)-
CURRENTS...........................148
CHAPTER
14.
SUBADDITIVITY
OF
MULTIPLIER
IDEALS
AND
FUJITA*S
APPROXIMATE
ZARISKI
DECOMPOSITION........................153
CHAPTER
15.
HARD
LEFSCHETZ
THEOREM
WITH
MULTIPLIER
IDEAL
SHEAVES..................................................159
15.A.
A
BUNDLE
VALUED
HARD
LEFSCHETZ
THEOREM..........................................159
15.B.
EQUISINGULAR
APPROXIMATIONS
OF
QUASI
PLURISUBHARMONIC
FUNCTIONS................160
15.C.
A
BOCHNER
TYPE
INEQUALITY.........................................................166
15.D.
PROOF
OF
THEOREM
15.1..............................................................168
15.E.
A
COUNTEREXAMPLE..................................................................170
CHAPTER
16.
INVARIANCE
OF
PLURIGENERA
OF
PROJECTIVE
VARIETIES........173
CHAPTER
17.
NUMERICAL
CHARACTERIZATION
OF
THE
KAHLER
CONE........177
17.
A.
POSITIVE
CLASSES
IN
INTERMEDIATE
(P,
P)-BIDEGREES.....................................177
17.B.
NUMERICALLY
POSITIVE
CLASSES
OF
TYPE
(1,1)...........................................178
17.
C.
DEFORMATIONS
OF
COMPACT
KAHLER
MANIFOLDS.........................................184
CHAPTER
18.
STRUCTURE
OF
THE
PSEUDO-EFFECTIVE
CONE
AND
MOBILE
INTERSECTION
THEORY...............................................189
18.
A.
CLASSES
OF
MOBILE
CURVES
AND
OF
MOBILE
(N
*
1,
N
*
L)-CURRENTS..................189
18.B.
ZARISKI
DECOMPOSITION
AND
MOBILE
INTERSECTIONS.....................................192
18.
C.
THE
ORTHOGONALITY
ESTIMATE........................................................199
18.D.
DUAL
OF
THE
PSEUDO-EFFECTIVE
CONE...................................................202
18.
E.
A
VOLUME
FORMULA
FOR
ALGEBRAIC
(L,L)-CLASSES
ON
PROJECTIVE
SURFACES.................205
CHAPTER
19.
SUPER-CANONICAL
METRICS
AND
ABUNDANCE..................209
19.
A.
CONSTRUCTION
OF
SUPER-CANONICAL
METRICS.............................................209
19.B.
INVARIANCE
OF
PLURIGENERA
AND
POSITIVITY
OF
CURVATURE
OF
SUPER-CANONICAL
METRICS.....216
19.C.
TSUJI*S
STRATEGY
FOR
STUDYING
ABUNDANCE............................................217
CHAPTER
20.
SIU*S
ANALYTIC
APPROACH
AND
PAUN*S
NON
VANISHING
THEOREM.........................................................219
REFERENCES
223
|
| any_adam_object | 1 |
| author | Demailly, Jean-Pierre 1957- |
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| author_facet | Demailly, Jean-Pierre 1957- |
| author_role | aut |
| author_sort | Demailly, Jean-Pierre 1957- |
| author_variant | j p d jpd |
| building | Verbundindex |
| bvnumber | BV041727770 |
| classification_rvk | SK 240 |
| ctrlnum | (OCoLC)876773462 (DE-599)BSZ367338254 |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-10T01:03:54Z |
| institution | BVB |
| isbn | 9781571462343 1571462341 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027174611 |
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| owner_facet | DE-19 DE-BY-UBM DE-703 DE-11 |
| physical | 231 S. graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | International Press [u.a.] |
| record_format | marc |
| series | Surveys of modern mathematics |
| series2 | Surveys of modern mathematics |
| spelling | Demailly, Jean-Pierre 1957- Verfasser (DE-588)172040183 aut Analytic methods in algebraic geometry by Jean-Pierre Demailly Somerville, Mass. International Press [u.a.] 2012 231 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Surveys of modern mathematics 1 Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 s DE-604 Surveys of modern mathematics 1 (DE-604)BV041123344 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027174611&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Demailly, Jean-Pierre 1957- Analytic methods in algebraic geometry Surveys of modern mathematics Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4001161-6 |
| title | Analytic methods in algebraic geometry |
| title_auth | Analytic methods in algebraic geometry |
| title_exact_search | Analytic methods in algebraic geometry |
| title_full | Analytic methods in algebraic geometry by Jean-Pierre Demailly |
| title_fullStr | Analytic methods in algebraic geometry by Jean-Pierre Demailly |
| title_full_unstemmed | Analytic methods in algebraic geometry by Jean-Pierre Demailly |
| title_short | Analytic methods in algebraic geometry |
| title_sort | analytic methods in algebraic geometry |
| topic | Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Algebraische Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027174611&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV041123344 |
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