Positivity in algebraic geometry: 2 Positivity for vector bundles, and multiplier ideals
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2004
|
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 385 S. graph. Darst. |
| ISBN: | 3540225315 354022534X 9783540225317 |
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MARC
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| 245 | 1 | 0 | |a Positivity in algebraic geometry |n 2 |p Positivity for vector bundles, and multiplier ideals |c Robert Lazarsfeld |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2004 | |
| 300 | |a XVII, 385 S. |b graph. Darst. | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
Notation and Conventions..................................... 1
Part Two:
Introduction to Part Two
6
6.1
6.1.A Definition and First Properties
6.1.
6.1.
6.1.
6.2
6.2.A Twists by Q-Divisors
6.2.B
6.3
6.3.A Normal and Tangent Bundles
6.3.B Ample Cotangent Bundles and Hyperbolicity
6.3.C
6.
6.3.E Direct Images of Canonical Bundles
6.3.F Some Constructions of Positive Vector Bundles
6.4
6.4.A Review of Semistability
6.4.B Semistability and Amplitude
Notes
7
7.1
7.1.A
XII Contents
7.1.B
7.1.C
7.2
7.2.A Statements and First Examples
7.2.B Proof of Connectedness of Degeneracy Loci
7.2.C Some Applications
7.2.D Variants and Extensions
7.3
7.3.A Vanishing Theorems of Griffiths and
7.3.B Generalizations
Notes
8
8.1
8.1.
8.1.B Cone Classes
8.1.
8.2
8.2.A
8.2.B
8.3
8.4
8.4.A
8.4.B Non-Emptiness of Degeneracy Loci
8.4.C Singularities of Hypersurfaces Along a Curve
Notes
Part Three: Multiplier Ideals and Their Applications
Introduction to Part Three
9
9.1
9.1.A Q-Divisors
9.1.
9.1.
9.2
9.2.A Definition of Multiplier Ideals
9.2.B First Properties
9.3
9.3.A Multiplier Ideals and Multiplicity
9.3.B Invariants Arising from Multiplier Ideals
9.3.C Monomial Ideals
9.3.D Analytic Construction of Multiplier Ideals
Contents XIII
9.3.E
9.3.F Multiplier
9.3.G Multiplier
9.4
9.4.
9.4.B The
9.4.
9.4.D Nadel s Theorem in the Analytic Setting
9.4.E
9.5
9.5.
9.5.B Subadditivity
9.5.C The Summation Theorem
9.5.D Multiplier Ideals in Families
9.5.E Coverings
9.6
9.6.A Integral Closure of Ideals
9.6.B Skoda s Theorem: Statements
9.6.C Skoda s Theorem: Proofs
9.6.D Variants
Notes
10
10.1
10.1.A Singularities of
10.1.B Singularities of Theta Divisors
10.1.
10.2
10.3
10.4
10.
10.4.B Loci of Log-Canonical Singularities
10.4.C Proof of the Theorem of Angehm and Siu
10.5
Notes
11
11.1
ll.l.A Complete Linear Series
11.1.B Graded Systems of Ideals and Linear Series
11.2
11.2.A Local Statements
11.2.B Global Results
11.2.C Multiplicativity of Plurigenera
11.3
XIV Contents
11.4
11.4.A Statement and First
11.4.B
11.4.C
11.5
Notes
References
Glossary of Notation
Index
|
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| id | DE-604.BV019414963 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:59:47Z |
| institution | BVB |
| isbn | 3540225315 354022534X 9783540225317 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012876792 |
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| physical | XVII, 385 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
| record_format | marc |
| spelling | Lazarsfeld, Robert 1953- Verfasser (DE-588)102154279 aut Positivity in algebraic geometry 2 Positivity for vector bundles, and multiplier ideals Robert Lazarsfeld Berlin [u.a.] Springer 2004 XVII, 385 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier (DE-604)BV019414841 2 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012876792&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lazarsfeld, Robert 1953- Positivity in algebraic geometry |
| title | Positivity in algebraic geometry |
| title_auth | Positivity in algebraic geometry |
| title_exact_search | Positivity in algebraic geometry |
| title_full | Positivity in algebraic geometry 2 Positivity for vector bundles, and multiplier ideals Robert Lazarsfeld |
| title_fullStr | Positivity in algebraic geometry 2 Positivity for vector bundles, and multiplier ideals Robert Lazarsfeld |
| title_full_unstemmed | Positivity in algebraic geometry 2 Positivity for vector bundles, and multiplier ideals Robert Lazarsfeld |
| title_short | Positivity in algebraic geometry |
| title_sort | positivity in algebraic geometry positivity for vector bundles and multiplier ideals |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012876792&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV019414841 |
| work_keys_str_mv | AT lazarsfeldrobert positivityinalgebraicgeometry2 |