Kobayashi-Hitchin correspondence for tame harmonic bundles and an application:
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Paris
Soc. Math. de France
2006
|
| Series: | Astérisque
309 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. [113] - 117 |
| Physical Description: | VIII, 117 S. |
| ISBN: | 9782856292266 |
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MARC
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| 245 | 1 | 0 | |a Kobayashi-Hitchin correspondence for tame harmonic bundles and an application |c Takuro Mochizuki |
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| 650 | 4 | |a Kobayashi-Hitchin correspondence (Algebraic geometry) | |
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Record in the Search Index
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|---|---|
| adam_text | ASTERISQUE 309 SUB GOTTINGEN 7 220 187 673 2007 A 18534
KOBAYASHI-HITCHIN CORRESPONDENCE FOR TAME HARMONIC BUNDLES AND AN
APPLICATION TAKURO MOCHIZUKI SOCIETE MATHEMATIQUE DE FRANCE 2006 PUBLIE
AVEC LE CONCOURS DU CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE
CONTENTS 1. INTRODUCTION 1 1.1. BACKGROUND 1 1.2. MAIN PURPOSE 2 1.3.
ADDITIONAL RESULTS 6 1.4. OUTLINE 8 1.5. ACKNOWLEDGEMENT 9 2.
PRELIMINARY 11 2.1. NOTATION AND WORDS 11 2.2. REVIEW OF SOME RESULTS OF
SIMPSON ON KOBAYASHI-HITCHIN CORRESPONDENCE 12 2.3. WEITZENBOCK FORMULA
15 2.4. A PRIORI ESTIMATE OF HIGGS FIELDS 16 2.5. NORM ESTIMATE FOR TAME
HARMONIC BUNDLE IN TWO DIMENSIONAL CASE . . 19 2.6. PRELIMINARY FROM
ELEMENTARY CALCULUS 20 2.7. REFLEXIVE SHEAF 22 2.8. MODULI SPACES OF
REPRESENTATIONS 23 3. PARABOLIC HIGGS BUNDLE AND REGULAR FILTERED HIGGS
BUNDLE 25 3.1. PARABOLIC HIGGS BUNDLE 25 3.2. FILTERED SHEAF *: . 31
3.3. PERTURBATION OF PARABOLIC STRUCTURE 34 3.4. MEHTA-RAMANATHAN TYPE
THEOREM 37 3.5. ADAPTED METRIC AND THE ASSOCIATED PARABOLIC FLAT HIGGS
BUNDLE 42 3.6. CONVERGENCE 42 4. AN ORDINARY METRIC FOR A PARABOLIC
HIGGS BUNDLE 45 4.1. AROUND THE INTERSECTION DID DJ 45 4.2. AROUND A
SMOOTH POINT OF THE DIVISOR 47 4.3. GLOBAL ORDINARY METRIC 53 CONTENTS
5. PARABOLIC HIGGS BUNDLE ASSOCIATED TO TAME HARMONIC BUNDLE .... 59
5.1. POLYSTABILITY AND UNIQUENESS 59 5.2. VANISHING OF CHARACTERISTIC
NUMBERS 60 6. PRELIMINARY CORRESPONDENCE AND BOGOMOLOV-GIESEKER
INEQUALITY .. 65 6.1. GRADED SEMISIMPLE PARABOLIC HIGGS BUNDLES ON
SURFACE 65 6.2. BOGOMOLOV-GIESEKER INEQUALITY 67 7. CONSTRUCTION OF A
FRAME 69 7.1. A PRIORI ESTIMATE OF HIGGS FIELD ON A PUNCTURED DISC 70
7.2. CONSTRUCTION OF LOCAL HOLOMORPHIC FRAMES 73 8. SOME CONVERGENCE
RESULTS 79 8.1. CONVERGENCE OF A SEQUENCE OF TAME HARMONIC BUNDLES 79
8.2. PREPARATION FOR THE PROOF OF THEOREM 9.1 82 9. EXISTENCE OF ADAPTED
PLURI-HARMONIC METRIC 87 9.1. THE SURFACE CASE 87 9.2. THE HIGHER
DIMENSIONAL CASE 92 10. TORUS ACTION AND THE DEFORMATION OF
REPRESENTATIONS 95 10.1. TORUS ACTION ON THE MODULI SPACE OF
REPRESENTATIONS 95 10.2. MONODROMY GROUP 99 G-HARMONIC BUNDLE 103 A.I.
G-PRINCIPAL BUNDLES WITH FLAT STRUCTURE OR HOLOMORPHIC STRUCTURE 103
A.2. DEFINITIONS 105 A.3. SEMISIMPLICITY AND PLURI-HARMONIC REDUCTION
108 BIBLIOGRAPHY 113 ASTERISQUE 309
|
| adam_txt |
ASTERISQUE 309 SUB GOTTINGEN 7 220 187 673 2007 A 18534
KOBAYASHI-HITCHIN CORRESPONDENCE FOR TAME HARMONIC BUNDLES AND AN
APPLICATION TAKURO MOCHIZUKI SOCIETE MATHEMATIQUE DE FRANCE 2006 PUBLIE
AVEC LE CONCOURS DU CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE
CONTENTS 1. INTRODUCTION 1 1.1. BACKGROUND 1 1.2. MAIN PURPOSE 2 1.3.
ADDITIONAL RESULTS 6 1.4. OUTLINE 8 1.5. ACKNOWLEDGEMENT 9 2.
PRELIMINARY 11 2.1. NOTATION AND WORDS 11 2.2. REVIEW OF SOME RESULTS OF
SIMPSON ON KOBAYASHI-HITCHIN CORRESPONDENCE 12 2.3. WEITZENBOCK FORMULA
15 2.4. A PRIORI ESTIMATE OF HIGGS FIELDS 16 2.5. NORM ESTIMATE FOR TAME
HARMONIC BUNDLE IN TWO DIMENSIONAL CASE . . 19 2.6. PRELIMINARY FROM
ELEMENTARY CALCULUS 20 2.7. REFLEXIVE SHEAF 22 2.8. MODULI SPACES OF
REPRESENTATIONS 23 3. PARABOLIC HIGGS BUNDLE AND REGULAR FILTERED HIGGS
BUNDLE 25 3.1. PARABOLIC HIGGS BUNDLE 25 3.2. FILTERED SHEAF *:'. 31
3.3. PERTURBATION OF PARABOLIC STRUCTURE 34 3.4. MEHTA-RAMANATHAN TYPE
THEOREM 37 3.5. ADAPTED METRIC AND THE ASSOCIATED PARABOLIC FLAT HIGGS
BUNDLE 42 3.6. CONVERGENCE 42 4. AN ORDINARY METRIC FOR A PARABOLIC
HIGGS BUNDLE 45 4.1. AROUND THE INTERSECTION DID DJ 45 4.2. AROUND A
SMOOTH POINT OF THE DIVISOR 47 4.3. GLOBAL ORDINARY METRIC 53 CONTENTS
5. PARABOLIC HIGGS BUNDLE ASSOCIATED TO TAME HARMONIC BUNDLE . 59
5.1. POLYSTABILITY AND UNIQUENESS 59 5.2. VANISHING OF CHARACTERISTIC
NUMBERS 60 6. PRELIMINARY CORRESPONDENCE AND BOGOMOLOV-GIESEKER
INEQUALITY . 65 6.1. GRADED SEMISIMPLE PARABOLIC HIGGS BUNDLES ON
SURFACE 65 6.2. BOGOMOLOV-GIESEKER INEQUALITY 67 7. CONSTRUCTION OF A
FRAME 69 7.1. A PRIORI ESTIMATE OF HIGGS FIELD ON A PUNCTURED DISC 70
7.2. CONSTRUCTION OF LOCAL HOLOMORPHIC FRAMES 73 8. SOME CONVERGENCE
RESULTS 79 8.1. CONVERGENCE OF A SEQUENCE OF TAME HARMONIC BUNDLES 79
8.2. PREPARATION FOR THE PROOF OF THEOREM 9.1 82 9. EXISTENCE OF ADAPTED
PLURI-HARMONIC METRIC 87 9.1. THE SURFACE CASE 87 9.2. THE HIGHER
DIMENSIONAL CASE 92 10. TORUS ACTION AND THE DEFORMATION OF
REPRESENTATIONS 95 10.1. TORUS ACTION ON THE MODULI SPACE OF
REPRESENTATIONS 95 10.2. MONODROMY GROUP 99 G-HARMONIC BUNDLE 103 A.I.
G-PRINCIPAL BUNDLES WITH FLAT STRUCTURE OR HOLOMORPHIC STRUCTURE 103
A.2. DEFINITIONS 105 A.3. SEMISIMPLICITY AND PLURI-HARMONIC REDUCTION
108 BIBLIOGRAPHY 113 ASTERISQUE 309 |
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| id | DE-604.BV022374509 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T17:08:40Z |
| indexdate | 2024-07-09T20:56:14Z |
| institution | BVB |
| isbn | 9782856292266 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015583609 |
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| physical | VIII, 117 S. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Soc. Math. de France |
| record_format | marc |
| series | Astérisque |
| series2 | Astérisque |
| spelling | Mochizuki, Takuro 1972- Verfasser (DE-588)138166021 aut Kobayashi-Hitchin correspondence for tame harmonic bundles and an application Takuro Mochizuki Paris Soc. Math. de France 2006 VIII, 117 S. txt rdacontent n rdamedia nc rdacarrier Astérisque 309 Literaturverz. S. [113] - 117 Geometria algébrica larpcal Manifolds gtt Vectorbundels gtt Vetores larpcal Kobayashi-Hitchin correspondence (Algebraic geometry) Vector bundles Astérisque 309 (DE-604)BV002579439 309 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015583609&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mochizuki, Takuro 1972- Kobayashi-Hitchin correspondence for tame harmonic bundles and an application Astérisque Geometria algébrica larpcal Manifolds gtt Vectorbundels gtt Vetores larpcal Kobayashi-Hitchin correspondence (Algebraic geometry) Vector bundles |
| title | Kobayashi-Hitchin correspondence for tame harmonic bundles and an application |
| title_auth | Kobayashi-Hitchin correspondence for tame harmonic bundles and an application |
| title_exact_search | Kobayashi-Hitchin correspondence for tame harmonic bundles and an application |
| title_exact_search_txtP | Kobayashi-Hitchin correspondence for tame harmonic bundles and an application |
| title_full | Kobayashi-Hitchin correspondence for tame harmonic bundles and an application Takuro Mochizuki |
| title_fullStr | Kobayashi-Hitchin correspondence for tame harmonic bundles and an application Takuro Mochizuki |
| title_full_unstemmed | Kobayashi-Hitchin correspondence for tame harmonic bundles and an application Takuro Mochizuki |
| title_short | Kobayashi-Hitchin correspondence for tame harmonic bundles and an application |
| title_sort | kobayashi hitchin correspondence for tame harmonic bundles and an application |
| topic | Geometria algébrica larpcal Manifolds gtt Vectorbundels gtt Vetores larpcal Kobayashi-Hitchin correspondence (Algebraic geometry) Vector bundles |
| topic_facet | Geometria algébrica Manifolds Vectorbundels Vetores Kobayashi-Hitchin correspondence (Algebraic geometry) Vector bundles |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015583609&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002579439 |
| work_keys_str_mv | AT mochizukitakuro kobayashihitchincorrespondencefortameharmonicbundlesandanapplication |