Algebraic functions and projective curves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2003
|
| Schriftenreihe: | Graduate texts in mathematics
215 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XVI, 179 S. |
| ISBN: | 0387954325 |
Internformat
MARC
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| 100 | 1 | |a Goldschmidt, David M. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Algebraic functions and projective curves |c David M. Goldschmidt |
| 264 | 1 | |a New York [u.a.] |b Springer |c 2003 | |
| 300 | |a XVI, 179 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Graduate texts in mathematics |v 215 | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Courbes algébriques | |
| 650 | 7 | |a Curvas algébricas |2 larpcal | |
| 650 | 4 | |a Fonctions algébriques | |
| 650 | 7 | |a Krommen |2 gtt | |
| 650 | 4 | |a Algebraic functions | |
| 650 | 4 | |a Curves, Algebraic | |
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Datensatz im Suchindex
| _version_ | 1804129244811362304 |
|---|---|
| adam_text | Contents
Preface
.................................
vii
Introduction
.............................. xi
1
Background
1
1.1
Valuations
........................... 1
1.2
Completions
.......................... 16
1.3
Differential Forms
....................... 24
1.4
Residues
............................ 30
1.5
Exercises
............................ 37
2
Function Fields
40
2.1
Divisors and Adeles
...................... 40
2.2
Weil Differentials
....................... 47
2.3
Elliptic Functions
....................... 52
2.4
Geometric Function Fields
.................. 54
2.5
Residues and Duality
..................... 58
2.6
Exercises
............................ 64
3
Finite Extensions
68
3.1
Norm and Conorm
....................... 69
3.2
Scalar Extensions
....................... 72
3.3
The Different
.......................... 75
3.4
Singular Prime Divisors
.................... 82
3.5
Galois Extensions
....................... 89
3.6
Hyperelliptic Functions
.................... 93
χ
Contents
3.7
Exercises
............................ 99
4
Projectíve
Curves
103
4.1
Projective
Varieties
...................... 103
4.2
Maps to
Ρ
........................... 108
4.3
Projective
Embeddings
.................... 114
4.4
Weierstrass
Points
....................... 122
4.5
Plane Curves
.......................... 136
4.6
Exercises
............................ 147
5
Zeta
Functions
150
5.1
The
Euler
Product
....................... 151
5.2
The Functional Equation
.................... 154
5.3
The Riemann Hypothesis
................... 156
5.4
Exercises
.... ;....................... 161
A Elementary Field Theory
164
References
175
Index
177
|
| any_adam_object | 1 |
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| classification_tum | MAT 145f |
| ctrlnum | (OCoLC)48803838 (DE-599)BVBBV014359247 |
| dewey-full | 515.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.9 |
| dewey-search | 515.9 |
| dewey-sort | 3515.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV014359247 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:02:04Z |
| institution | BVB |
| isbn | 0387954325 |
| language | English |
| lccn | 2002016004 |
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| physical | XVI, 179 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
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| publisher | Springer |
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| series | Graduate texts in mathematics |
| series2 | Graduate texts in mathematics |
| spelling | Goldschmidt, David M. Verfasser aut Algebraic functions and projective curves David M. Goldschmidt New York [u.a.] Springer 2003 XVI, 179 S. txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 215 Includes bibliographical references and index Courbes algébriques Curvas algébricas larpcal Fonctions algébriques Krommen gtt Algebraic functions Curves, Algebraic 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 DE-604 Graduate texts in mathematics 215 (DE-604)BV000000067 215 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009841168&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Goldschmidt, David M. Algebraic functions and projective curves Graduate texts in mathematics Courbes algébriques Curvas algébricas larpcal Fonctions algébriques Krommen gtt Algebraic functions Curves, Algebraic 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 David M. Goldschmidt |
| title_fullStr | Algebraic functions and projective curves David M. Goldschmidt |
| title_full_unstemmed | Algebraic functions and projective curves David M. Goldschmidt |
| title_short | Algebraic functions and projective curves |
| title_sort | algebraic functions and projective curves |
| topic | Courbes algébriques Curvas algébricas larpcal Fonctions algébriques Krommen gtt Algebraic functions Curves, Algebraic Projektive Kurve (DE-588)4175887-0 gnd Algebraische Funktion (DE-588)4141836-0 gnd |
| topic_facet | Courbes algébriques Curvas algébricas Fonctions algébriques Krommen Algebraic functions Curves, Algebraic Projektive Kurve Algebraische Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009841168&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000067 |
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