Algebraic Functions and Projective Curves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2003
|
| Schriftenreihe: | Graduate Texts in Mathematics
215 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book provides a self-contained exposition of the theory of algebraic curves without requiring any of the prerequisites of modern algebraic geometry. The self-contained treatment makes this important and mathematically central subject accessible to non-specialists. At the same time, specialists in the field may be interested to discover several unusual topics. Among these are Tates theory of residues, higher derivatives and Weierstrass points in characteristic p, the Stöhr--Voloch proof of the Riemann hypothesis, and a treatment of inseparable residue field extensions. Although the exposition is based on the theory of function fields in one variable, the book is unusual in that it also covers projective curves, including singularities and a section on plane curves. David Goldschmidt has served as the Director of the Center for Communications Research since 1991. Prior to that he was Professor of Mathematics at the University of California, Berkeley |
| Beschreibung: | 1 Online-Ressource (XVI, 186 p) |
| ISBN: | 9780387224459 9781441929952 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/b97844 |
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/b97844 |
| format | Electronic eBook |
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| id | DE-604.BV042419025 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:03Z |
| institution | BVB |
| isbn | 9780387224459 9781441929952 |
| issn | 0072-5285 |
| language | English |
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| physical | 1 Online-Ressource (XVI, 186 p) |
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| publisher | Springer New York |
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| series2 | Graduate Texts in Mathematics |
| spelling | Goldschmidt, David M. Verfasser aut Algebraic Functions and Projective Curves by David M. Goldschmidt New York, NY Springer New York 2003 1 Online-Ressource (XVI, 186 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 215 0072-5285 This book provides a self-contained exposition of the theory of algebraic curves without requiring any of the prerequisites of modern algebraic geometry. The self-contained treatment makes this important and mathematically central subject accessible to non-specialists. At the same time, specialists in the field may be interested to discover several unusual topics. Among these are Tates theory of residues, higher derivatives and Weierstrass points in characteristic p, the Stöhr--Voloch proof of the Riemann hypothesis, and a treatment of inseparable residue field extensions. Although the exposition is based on the theory of function fields in one variable, the book is unusual in that it also covers projective curves, including singularities and a section on plane curves. David Goldschmidt has served as the Director of the Center for Communications Research since 1991. Prior to that he was Professor of Mathematics at the University of California, Berkeley Mathematics Geometry, algebraic Number theory Algebraic Geometry Number Theory Mathematik Projektive Kurve (DE-588)4175887-0 gnd rswk-swf Algebraische Funktion (DE-588)4141836-0 gnd rswk-swf Algebraische Funktion (DE-588)4141836-0 s Projektive Kurve (DE-588)4175887-0 s 1\p DE-604 https://doi.org/10.1007/b97844 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Goldschmidt, David M. Algebraic Functions and Projective Curves Mathematics Geometry, algebraic Number theory Algebraic Geometry Number Theory Mathematik Projektive Kurve (DE-588)4175887-0 gnd Algebraische Funktion (DE-588)4141836-0 gnd |
| subject_GND | (DE-588)4175887-0 (DE-588)4141836-0 |
| title | Algebraic Functions and Projective Curves |
| title_auth | Algebraic Functions and Projective Curves |
| title_exact_search | Algebraic Functions and Projective Curves |
| title_full | Algebraic Functions and Projective Curves by David M. Goldschmidt |
| title_fullStr | Algebraic Functions and Projective Curves by David M. Goldschmidt |
| title_full_unstemmed | Algebraic Functions and Projective Curves by David M. Goldschmidt |
| title_short | Algebraic Functions and Projective Curves |
| title_sort | algebraic functions and projective curves |
| topic | Mathematics Geometry, algebraic Number theory Algebraic Geometry Number Theory Mathematik Projektive Kurve (DE-588)4175887-0 gnd Algebraische Funktion (DE-588)4141836-0 gnd |
| topic_facet | Mathematics Geometry, algebraic Number theory Algebraic Geometry Number Theory Mathematik Projektive Kurve Algebraische Funktion |
| url | https://doi.org/10.1007/b97844 |
| work_keys_str_mv | AT goldschmidtdavidm algebraicfunctionsandprojectivecurves |