Introduction to Arakelov Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1988
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Arakelov introduced a component at infinity in arithmetic considerations, thus giving rise to global theorems similar to those of the theory of surfaces, but in an arithmetic context over the ring of integers of a number field. The book gives an introduction to this theory, including the analogues of the Hodge Index Theorem, the Arakelov adjunction formula, and the Faltings Riemann-Roch theorem. The book is intended for second year graduate students and researchers in the field who want a systematic introduction to the subject. The residue theorem, which forms the basis for the adjunction formula, is proved by a direct method due to Kunz and Waldi. The Faltings Riemann-Roch theorem is proved without assumptions of semistability. An effort has been made to include all necessary details, and as complete references as possible, especially to needed facts of analysis for Green's functions and the Faltings metrics |
| Beschreibung: | 1 Online-Ressource (X, 187 p) |
| ISBN: | 9781461210313 9781461269915 |
| DOI: | 10.1007/978-1-4612-1031-3 |
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| 500 | |a Arakelov introduced a component at infinity in arithmetic considerations, thus giving rise to global theorems similar to those of the theory of surfaces, but in an arithmetic context over the ring of integers of a number field. The book gives an introduction to this theory, including the analogues of the Hodge Index Theorem, the Arakelov adjunction formula, and the Faltings Riemann-Roch theorem. The book is intended for second year graduate students and researchers in the field who want a systematic introduction to the subject. The residue theorem, which forms the basis for the adjunction formula, is proved by a direct method due to Kunz and Waldi. The Faltings Riemann-Roch theorem is proved without assumptions of semistability. An effort has been made to include all necessary details, and as complete references as possible, especially to needed facts of analysis for Green's functions and the Faltings metrics | ||
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| author | Lang, Serge |
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| dewey-full | 512 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512 |
| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1031-3 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461210313 9781461269915 |
| language | English |
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| spelling | Lang, Serge Verfasser aut Introduction to Arakelov Theory by Serge Lang New York, NY Springer New York 1988 1 Online-Ressource (X, 187 p) txt rdacontent c rdamedia cr rdacarrier Arakelov introduced a component at infinity in arithmetic considerations, thus giving rise to global theorems similar to those of the theory of surfaces, but in an arithmetic context over the ring of integers of a number field. The book gives an introduction to this theory, including the analogues of the Hodge Index Theorem, the Arakelov adjunction formula, and the Faltings Riemann-Roch theorem. The book is intended for second year graduate students and researchers in the field who want a systematic introduction to the subject. The residue theorem, which forms the basis for the adjunction formula, is proved by a direct method due to Kunz and Waldi. The Faltings Riemann-Roch theorem is proved without assumptions of semistability. An effort has been made to include all necessary details, and as complete references as possible, especially to needed facts of analysis for Green's functions and the Faltings metrics Mathematics Algebra Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Arakelov-Schnitttheorie (DE-588)4206762-5 gnd rswk-swf Arakelov-Schnitttheorie (DE-588)4206762-5 s 1\p DE-604 Algebraische Geometrie (DE-588)4001161-6 s 2\p DE-604 https://doi.org/10.1007/978-1-4612-1031-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lang, Serge Introduction to Arakelov Theory Mathematics Algebra Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd Arakelov-Schnitttheorie (DE-588)4206762-5 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4206762-5 |
| title | Introduction to Arakelov Theory |
| title_auth | Introduction to Arakelov Theory |
| title_exact_search | Introduction to Arakelov Theory |
| title_full | Introduction to Arakelov Theory by Serge Lang |
| title_fullStr | Introduction to Arakelov Theory by Serge Lang |
| title_full_unstemmed | Introduction to Arakelov Theory by Serge Lang |
| title_short | Introduction to Arakelov Theory |
| title_sort | introduction to arakelov theory |
| topic | Mathematics Algebra Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd Arakelov-Schnitttheorie (DE-588)4206762-5 gnd |
| topic_facet | Mathematics Algebra Mathematik Algebraische Geometrie Arakelov-Schnitttheorie |
| url | https://doi.org/10.1007/978-1-4612-1031-3 |
| work_keys_str_mv | AT langserge introductiontoarakelovtheory |