Algebraic geometry: 3 Complex algebraic varieties
The first contribution of this EMS volume on the subject of complex algebraic geometry touches upon many of the central problems in this vast and very active area of current research. While it is much too short to provide complete coverage of this subject, it provides a succinct summary of the areas...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Springer
[1998]
|
| Schriftenreihe: | Encyclopaedia of mathematical sciences
volume 36 |
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBT01 URL des Erstveröffentlichers |
| Zusammenfassung: | The first contribution of this EMS volume on the subject of complex algebraic geometry touches upon many of the central problems in this vast and very active area of current research. While it is much too short to provide complete coverage of this subject, it provides a succinct summary of the areas it covers, while providing in-depth coverage of certain very important fields - some examples of the fields treated in greater detail are theorems of Torelli type, K3 surfaces, variation of Hodge structures and degenerations of algebraic varieties. The second part provides a brief and lucid introduction to the recent work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties, and partial differential equations of mathematical physics. The paper discusses the work of Mumford, Novikov, Krichever, and Shiota, and would be an excellent companion to the older classics on the subject by Mumford. |
| Beschreibung: | 1 Online-Ressource (viii, 270 Seiten) graph. Darst. |
| ISBN: | 9783662036624 |
| DOI: | 10.1007/978-3-662-03662-4 |
Internformat
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| 520 | 3 | |a The first contribution of this EMS volume on the subject of complex algebraic geometry touches upon many of the central problems in this vast and very active area of current research. While it is much too short to provide complete coverage of this subject, it provides a succinct summary of the areas it covers, while providing in-depth coverage of certain very important fields - some examples of the fields treated in greater detail are theorems of Torelli type, K3 surfaces, variation of Hodge structures and degenerations of algebraic varieties. The second part provides a brief and lucid introduction to the recent work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties, and partial differential equations of mathematical physics. The paper discusses the work of Mumford, Novikov, Krichever, and Shiota, and would be an excellent companion to the older classics on the subject by Mumford. | |
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| id | DE-604.BV047172298 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:43:26Z |
| indexdate | 2024-07-10T09:04:38Z |
| institution | BVB |
| isbn | 9783662036624 |
| language | English |
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| physical | 1 Online-Ressource (viii, 270 Seiten) graph. Darst. |
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| series | Encyclopaedia of mathematical sciences |
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| spelling | Algebraičeskaja geometrija Algebraic geometry 3 Complex algebraic varieties A. N. Parshin, I. R. Shafarevich (eds.) Berlin Springer [1998] 1 Online-Ressource (viii, 270 Seiten) graph. Darst. txt rdacontent c rdamedia cr rdacarrier Encyclopaedia of mathematical sciences volume 36 Encyclopaedia of mathematical sciences The first contribution of this EMS volume on the subject of complex algebraic geometry touches upon many of the central problems in this vast and very active area of current research. While it is much too short to provide complete coverage of this subject, it provides a succinct summary of the areas it covers, while providing in-depth coverage of certain very important fields - some examples of the fields treated in greater detail are theorems of Torelli type, K3 surfaces, variation of Hodge structures and degenerations of algebraic varieties. The second part provides a brief and lucid introduction to the recent work on the interactions between the classical area of the geometry of complex algebraic curves and their Jacobian varieties, and partial differential equations of mathematical physics. The paper discusses the work of Mumford, Novikov, Krichever, and Shiota, and would be an excellent companion to the older classics on the subject by Mumford. Mathematics Geometry, algebraic Global analysis (Mathematics) Number theory Algebraic Geometry Analysis Number Theory Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Algebraische Kurve (DE-588)4001165-3 gnd rswk-swf Komplexe algebraische Mannigfaltigkeit (DE-588)4285867-7 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 s Komplexe algebraische Mannigfaltigkeit (DE-588)4285867-7 s Algebraische Kurve (DE-588)4001165-3 s DE-604 Paršin, Aleksej Nikolaevič 1942-2022 (DE-588)172519012 edt Šafarevič, Igorʹ R. 1923-2017 (DE-588)119280337 edt (DE-604)BV047172160 3 Erscheint auch als Druck-Ausgabe 978-3-642-08118-7 Encyclopaedia of mathematical sciences volume 36 (DE-604)BV035421342 36 https://doi.org/10.1007/978-3-662-03662-4 Verlag URL des Erstveröffentlichers Volltext Algebraic curves and their Jacobians |
| spellingShingle | Algebraic geometry Encyclopaedia of mathematical sciences Mathematics Geometry, algebraic Global analysis (Mathematics) Number theory Algebraic Geometry Analysis Number Theory Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd Algebraische Kurve (DE-588)4001165-3 gnd Komplexe algebraische Mannigfaltigkeit (DE-588)4285867-7 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4001165-3 (DE-588)4285867-7 |
| title | Algebraic geometry |
| title_alt | Algebraičeskaja geometrija |
| title_auth | Algebraic geometry |
| title_exact_search | Algebraic geometry |
| title_exact_search_txtP | Algebraic geometry |
| title_full | Algebraic geometry 3 Complex algebraic varieties A. N. Parshin, I. R. Shafarevich (eds.) |
| title_fullStr | Algebraic geometry 3 Complex algebraic varieties A. N. Parshin, I. R. Shafarevich (eds.) |
| title_full_unstemmed | Algebraic geometry 3 Complex algebraic varieties A. N. Parshin, I. R. Shafarevich (eds.) |
| title_short | Algebraic geometry |
| title_sort | algebraic geometry complex algebraic varieties |
| topic | Mathematics Geometry, algebraic Global analysis (Mathematics) Number theory Algebraic Geometry Analysis Number Theory Mathematik Algebraische Geometrie (DE-588)4001161-6 gnd Algebraische Kurve (DE-588)4001165-3 gnd Komplexe algebraische Mannigfaltigkeit (DE-588)4285867-7 gnd |
| topic_facet | Mathematics Geometry, algebraic Global analysis (Mathematics) Number theory Algebraic Geometry Analysis Number Theory Mathematik Algebraische Geometrie Algebraische Kurve Komplexe algebraische Mannigfaltigkeit |
| url | https://doi.org/10.1007/978-3-662-03662-4 |
| volume_link | (DE-604)BV047172160 (DE-604)BV035421342 |
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