Geometry of algebraic curves: Volume 1
In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the general techniques developed in algebraic geometry during the 1950's and 1960's. Additionally, unexpected and deep connections between algebraic curves...
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| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
[1985]
|
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften
267 |
| Schlagworte: | |
| Online-Zugang: | DE-634 DE-384 DE-703 ZUM01 Volltext |
| Zusammenfassung: | In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the general techniques developed in algebraic geometry during the 1950's and 1960's. Additionally, unexpected and deep connections between algebraic curves and differential equations have been uncovered, and these in turn shed light on other classical problems in curve theory. It seems fair to say that the theory of algebraic curves looks completely different now from how it appeared 15 years ago; in particular, our current state of knowledge repre sents a significant advance beyond the legacy left by the classical geometers such as Noether, Castelnuovo, Enriques, and Severi. These books give a presentation of one of the central areas of this recent activity; namely, the study of linear series on both a fixed curve (Volume I) and on a variable curve (Volume II). Our goal is to give a comprehensive and self-contained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory. Along the way we shall, of course, discuss appli cations of the theory of linear series to a number of classical topics (e.g., the geometry of the Riemann theta divisor) as well as to some of the current research (e.g., the Kodaira dimension of the moduli space of curves) |
| Beschreibung: | 1 Online-Ressource (XVI, 387 Seiten) |
| ISBN: | 9781475753233 |
| DOI: | 10.1007/978-1-4757-5323-3 |
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| discipline | Mathematik |
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| id | DE-604.BV047065995 |
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| index_date | 2024-07-03T16:12:36Z |
| indexdate | 2024-07-20T06:38:46Z |
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| isbn | 9781475753233 |
| language | English |
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| spelling | Arbarello, Enrico 1945- Verfasser (DE-588)1096844974 aut Geometry of algebraic curves Volume 1 E. Arbarello ; Maurizio Cornalba ; Pillip A. Griffiths Berlin [u.a.] Springer [1985] 1 Online-Ressource (XVI, 387 Seiten) txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften 267 Grundlehren der mathematischen Wissenschaften In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the general techniques developed in algebraic geometry during the 1950's and 1960's. Additionally, unexpected and deep connections between algebraic curves and differential equations have been uncovered, and these in turn shed light on other classical problems in curve theory. It seems fair to say that the theory of algebraic curves looks completely different now from how it appeared 15 years ago; in particular, our current state of knowledge repre sents a significant advance beyond the legacy left by the classical geometers such as Noether, Castelnuovo, Enriques, and Severi. These books give a presentation of one of the central areas of this recent activity; namely, the study of linear series on both a fixed curve (Volume I) and on a variable curve (Volume II). Our goal is to give a comprehensive and self-contained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory. Along the way we shall, of course, discuss appli cations of the theory of linear series to a number of classical topics (e.g., the geometry of the Riemann theta divisor) as well as to some of the current research (e.g., the Kodaira dimension of the moduli space of curves) Mathematics Geometry, algebraic Algebraic Geometry Mathematik Geometrie (DE-588)4020236-7 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Algebraische Kurve (DE-588)4001165-3 gnd rswk-swf Algebraische Kurve (DE-588)4001165-3 s DE-604 Geometrie (DE-588)4020236-7 s Algebraische Geometrie (DE-588)4001161-6 s Cornalba, Maurizio Verfasser aut Griffiths, Phillip 1938- Verfasser (DE-588)131881434 aut (DE-604)BV037386541 1 Erscheint auch als Druck-ausgabe 978-1-4419-2825-2 Grundlehren der mathematischen Wissenschaften 267 (DE-604)BV049758308 267 https://doi.org/10.1007/978-1-4757-5323-3 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Arbarello, Enrico 1945- Cornalba, Maurizio Griffiths, Phillip 1938- Geometry of algebraic curves Grundlehren der mathematischen Wissenschaften Mathematics Geometry, algebraic Algebraic Geometry Mathematik Geometrie (DE-588)4020236-7 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Algebraische Kurve (DE-588)4001165-3 gnd |
| subject_GND | (DE-588)4020236-7 (DE-588)4001161-6 (DE-588)4001165-3 |
| title | Geometry of algebraic curves |
| title_auth | Geometry of algebraic curves |
| title_exact_search | Geometry of algebraic curves |
| title_exact_search_txtP | Geometry of algebraic curves |
| title_full | Geometry of algebraic curves Volume 1 E. Arbarello ; Maurizio Cornalba ; Pillip A. Griffiths |
| title_fullStr | Geometry of algebraic curves Volume 1 E. Arbarello ; Maurizio Cornalba ; Pillip A. Griffiths |
| title_full_unstemmed | Geometry of algebraic curves Volume 1 E. Arbarello ; Maurizio Cornalba ; Pillip A. Griffiths |
| title_short | Geometry of algebraic curves |
| title_sort | geometry of algebraic curves |
| topic | Mathematics Geometry, algebraic Algebraic Geometry Mathematik Geometrie (DE-588)4020236-7 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Algebraische Kurve (DE-588)4001165-3 gnd |
| topic_facet | Mathematics Geometry, algebraic Algebraic Geometry Mathematik Geometrie Algebraische Geometrie Algebraische Kurve |
| url | https://doi.org/10.1007/978-1-4757-5323-3 |
| volume_link | (DE-604)BV037386541 (DE-604)BV049758308 |
| work_keys_str_mv | AT arbarelloenrico geometryofalgebraiccurvesvolume1 AT cornalbamaurizio geometryofalgebraiccurvesvolume1 AT griffithsphillip geometryofalgebraiccurvesvolume1 |