Introduction to plane algebraic curves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English German |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
2005
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 293 S. Ill., graph. Darst. |
| ISBN: | 0817643818 9780817643812 0817644431 |
Internformat
MARC
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| 245 | 1 | 0 | |a Introduction to plane algebraic curves |c Ernst Kunz |
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Datensatz im Suchindex
| _version_ | 1804133594643300352 |
|---|---|
| adam_text | ERNST KUNZ
INTRODUCTION TO
PLANE ALGEBRAIC CURVES
TRANSLATED FROM THE ORIGINAL GERMAN BY RICHARD G. BELSHOFF
BIRKHAUSER
BOSTON YY BASEL YY BERLIN
CONTENTS
PREFAC
E VII
CONVENTION
S AN
D NOTATIO
N IX
PAR
T I PLAN
E ALGEBRAI
C CURVE
S
1 AFFINE ALGEBRAI
C CURVE
S 3
2 PROJECTIV
E ALGEBRAI
C CURVE
S 13
3 COORDINAT
E RIN
G OF A
N ALGEBRAI
C CURV
E 23
4 RATIONA
L FUNCTION
S O
N ALGEBRAI
C CURVE
S 31
5 INTERSECTIO
N MULTIPLICIT
Y AN
D INTERSECTIO
N CYCL
E OF TW
O
CURVE
S 39
6 REGULA
R AN
D SINGULA
R POINT
S OF ALGEBRAI
C CURVES
. TANGENT
S 51
7 MOR
E O
N INTERSECTIO
N THEORY
. APPLICATION
S 61
8 RATIONA
L MAPS
. PARAMETRI
C REPRESENTATION
S OF CURVE
S 73
9 POLAR
S AN
D HESSIAN
S OF ALGEBRAI
C CURVE
S 81
10 ELLIPTI
C CURVE
S . 89
1
1 RESIDU
E CALCULU
S 99
12 APPLICATION
S OF RESIDU
E THEOR
Y T
O CURVE
S 117
13 TH
E RIEMANN-ROC
H THEORE
M 131
XII CONTENTS
14 THE GENUS OF AN ALGEBRAIC CURVE AND OF IT
S FUNCTION FIELD 143
15 THE CANONICAL DIVISOR CLASS 149
16 THE BRANCHES OF A CURVE SINGULARITY 161
17 CONDUCTOR AND VALUE SEMIGROUP OF A CURVE SINGULARITY . .
. 175
PAR
T I
I ALGEBRAIC FOUNDATIONS
ALGEBRAIC FOUNDATIONS 189
A GRADED ALGEBRAS AND MODULES 191
B FILTERED ALGEBRAS 199
C RINGS OF QUOTIENTS. LOCALIZATION 209
D THE CHINESE REMAINDER THEOREM 217
E NOETHERIAN LOCAL RINGS AND DISCRETE VALUATION RINGS 221
F INTEGRAL RING EXTENSIONS 227
G TENSOR PRODUCT
S OF ALGEBRAS 235
H TRACES 245
I IDEAL QUOTIENTS 257
K COMPLETE RINGS. COMPLETION 261
L TOOLS FOR A PROOF OF TH
E RIEMANN-ROCH THEOREM 275
LIST OF SYMBOLS 283
REFERENCES 285
INDEX 289
|
| any_adam_object | 1 |
| author | Kunz, Ernst 1933-2021 |
| author_GND | (DE-588)138730083 |
| author_facet | Kunz, Ernst 1933-2021 |
| author_role | aut |
| author_sort | Kunz, Ernst 1933-2021 |
| author_variant | e k ek |
| building | Verbundindex |
| bvnumber | BV020028603 |
| callnumber-first | Q - Science |
| callnumber-label | QA567 |
| callnumber-raw | QA567 |
| callnumber-search | QA567 |
| callnumber-sort | QA 3567 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 240 |
| ctrlnum | (OCoLC)180885078 (DE-599)BVBBV020028603 |
| dewey-full | 516.3/52 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/52 |
| dewey-search | 516.3/52 |
| dewey-sort | 3516.3 252 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV020028603 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:11:12Z |
| institution | BVB |
| isbn | 0817643818 9780817643812 0817644431 |
| language | English German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013349871 |
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| owner_facet | DE-739 DE-824 DE-703 DE-355 DE-BY-UBR DE-11 DE-92 |
| physical | XII, 293 S. Ill., graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Birkhäuser |
| record_format | marc |
| spelling | Kunz, Ernst 1933-2021 Verfasser (DE-588)138730083 aut Ebene algebraische Kurven Introduction to plane algebraic curves Ernst Kunz Boston [u.a.] Birkhäuser 2005 XII, 293 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Courbes algébriques Courbes planes Singularités (Mathématiques) Curves, Algebraic Curves, Plane Singularities (Mathematics) Ebene algebraische Kurve (DE-588)4124805-3 gnd rswk-swf Ringtheorie (DE-588)4126571-3 gnd rswk-swf Ebene algebraische Kurve (DE-588)4124805-3 s DE-604 Ringtheorie (DE-588)4126571-3 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013349871&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kunz, Ernst 1933-2021 Introduction to plane algebraic curves Courbes algébriques Courbes planes Singularités (Mathématiques) Curves, Algebraic Curves, Plane Singularities (Mathematics) Ebene algebraische Kurve (DE-588)4124805-3 gnd Ringtheorie (DE-588)4126571-3 gnd |
| subject_GND | (DE-588)4124805-3 (DE-588)4126571-3 |
| title | Introduction to plane algebraic curves |
| title_alt | Ebene algebraische Kurven |
| title_auth | Introduction to plane algebraic curves |
| title_exact_search | Introduction to plane algebraic curves |
| title_full | Introduction to plane algebraic curves Ernst Kunz |
| title_fullStr | Introduction to plane algebraic curves Ernst Kunz |
| title_full_unstemmed | Introduction to plane algebraic curves Ernst Kunz |
| title_short | Introduction to plane algebraic curves |
| title_sort | introduction to plane algebraic curves |
| topic | Courbes algébriques Courbes planes Singularités (Mathématiques) Curves, Algebraic Curves, Plane Singularities (Mathematics) Ebene algebraische Kurve (DE-588)4124805-3 gnd Ringtheorie (DE-588)4126571-3 gnd |
| topic_facet | Courbes algébriques Courbes planes Singularités (Mathématiques) Curves, Algebraic Curves, Plane Singularities (Mathematics) Ebene algebraische Kurve Ringtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013349871&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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