Capacity theory on algebraic curves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1989
|
| Schriftenreihe: | Lecture notes in mathematics
1378 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 423 - 428 |
| Beschreibung: | 437 S. graph. Darst. |
| ISBN: | 3540514104 0387514104 |
Internformat
MARC
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| 100 | 1 | |a Rumely, Robert S. |d 1952- |e Verfasser |0 (DE-588)112825729 |4 aut | |
| 245 | 1 | 0 | |a Capacity theory on algebraic curves |c Robert S. Rumely |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1989 | |
| 300 | |a 437 S. |b graph. Darst. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1378 | |
| 500 | |a Literaturverz. S. 423 - 428 | ||
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Datensatz im Suchindex
| _version_ | 1804116315399520256 |
|---|---|
| adam_text | Table of Contents
§0. Preliminaries 1
§0.1: Introduction 1
§0.2: Notation and Conventions 20
§ 1. Foundations 23
§1.1: Metrics on Projective Space 23
§1.2: Parametrization by Power Series 30
§1.3: The Jacobian Construction Principle 48
§1.4: The Maximum Modulus Principle 50
§2. The Canonical Distance 56
§2.1: The Canonical Distance on Curves 56
§2.2: Neron s Local Height Pairing 74
§2.3: Special Formulas in the Archimedean Case 79
§2.4: Special Formulas in the Nonarchimedean Case 89
§2.5: The Triangle Inequality 122
§3. Local Capacity Theory Archimedean Case 133
§3.1: Capacity Theory for Compact Sets 133
§3.2: Green s Functions 155
§3.3: Approximation Theorems 165
§4. Local Capacity Theory Nonarchimedean Case 185
§4.1: Capacity Theory for Compact Sets 185
§4.2: The Decomposition of RL Domains 220
§4.3: Algebraic Capacitability 258
§4.4: Green s Functions 277
§4.5: Approximation Theorems 311
§5. Global Capacity Theory 320
§5.1: The Global Capacity 320
§5.2: Examples of Capacities and Green s Functions 338
§6. Applications 373
§6.1: The Classical Fekete and Fekete Szego Theorems 373
§6.2: Construction of the Global Mapping Functions 380
§6.3: The Fekete and Fekete Szego Theorems on Curves 414
§6.4: Some Counterexamples 418
References 423
Subject Index 429
|
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| bvnumber | BV001848165 |
| classification_rvk | SI 850 |
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| ctrlnum | (OCoLC)230982021 (DE-599)BVBBV001848165 |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:36:33Z |
| institution | BVB |
| isbn | 3540514104 0387514104 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001225214 |
| oclc_num | 230982021 |
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| physical | 437 S. graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Rumely, Robert S. 1952- Verfasser (DE-588)112825729 aut Capacity theory on algebraic curves Robert S. Rumely Berlin [u.a.] Springer 1989 437 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1378 Literaturverz. S. 423 - 428 Algebraische Kurve (DE-588)4001165-3 gnd rswk-swf Kapazität Mathematik (DE-588)4163239-4 gnd rswk-swf Algebraische Kurve (DE-588)4001165-3 s Kapazität Mathematik (DE-588)4163239-4 s DE-604 Lecture notes in mathematics 1378 (DE-604)BV000676446 1378 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001225214&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rumely, Robert S. 1952- Capacity theory on algebraic curves Lecture notes in mathematics Algebraische Kurve (DE-588)4001165-3 gnd Kapazität Mathematik (DE-588)4163239-4 gnd |
| subject_GND | (DE-588)4001165-3 (DE-588)4163239-4 |
| title | Capacity theory on algebraic curves |
| title_auth | Capacity theory on algebraic curves |
| title_exact_search | Capacity theory on algebraic curves |
| title_full | Capacity theory on algebraic curves Robert S. Rumely |
| title_fullStr | Capacity theory on algebraic curves Robert S. Rumely |
| title_full_unstemmed | Capacity theory on algebraic curves Robert S. Rumely |
| title_short | Capacity theory on algebraic curves |
| title_sort | capacity theory on algebraic curves |
| topic | Algebraische Kurve (DE-588)4001165-3 gnd Kapazität Mathematik (DE-588)4163239-4 gnd |
| topic_facet | Algebraische Kurve Kapazität Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001225214&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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