Elementary algebraic geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2003]
|
| Schriftenreihe: | Student mathematical library
Volume 20 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | viii, 213 Seiten Diagramme |
| ISBN: | 0821829521 9780821829523 |
Internformat
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| 100 | 1 | |a Hulek, Klaus |d 1952- |e Verfasser |0 (DE-588)142026077 |4 aut | |
| 240 | 1 | 0 | |a Elementare algebraische Geometrie |
| 245 | 1 | 0 | |a Elementary algebraic geometry |c Klaus Hulek. Translated by Helena Verrill |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2003] | |
| 264 | 4 | |c © 2003 | |
| 300 | |a viii, 213 Seiten |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Student mathematical library |v Volume 20 | |
| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 4 | |a Geometría algebraica | |
| 650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
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| 830 | 0 | |a Student mathematical library |v Volume 20 |w (DE-604)BV013184751 |9 20 | |
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Datensatz im Suchindex
| _version_ | 1804129900745981952 |
|---|---|
| adam_text | Contents
Preface
vii
Chapter
0.
Introduction
1
Exercises
15
Chapter
1.
Affine
Varieties
17
§1.1.
Hubert s
Nullstellensatz 17
§1.2.
Polynomial Functions and Maps
37
§1.3.
Rational
Ponctions
and Maps
49
Exercises
58
Chapter
2.
Projective
Varieties
63
§2.1.
Projective
Space
63
§2.2.
Projective
Varieties
66
§2.3.
Rational Functions and Morphisms
75
Exercises
94
Chapter
3.
Smooth Points and Dimension
97
§3.1.
Smooth and Singular Points
97
§3.2.
Algebraic Characterization of the Dimension of a
Variety
103
Exercises
112
vi
Contents
Chapter
4.
Plane Cubic Curves
115
§4.1.
Plane Curves
115
§4.2.
Intersection Multiplicity
118
§4.3.
Classification of Smooth Cubics
126
§4.4.
The Group Structure of an Elliptic Curve
136
Exercises
139
Chapter
5.
Cubic Surfaces
143
§5.1.
The Existence of Lines on a Cubic
144
§5.2.
The Configuration of the
27
Lines
151
§5.3.
nationality of Cubics
161
Exercises
163
Chapter
6.
Introduction to the
Theory of Curves
167
§6.1.
Divisors on Curves
167
§6.2.
The Degree of a Principal Divisor
172
§6.3.
Bézouťs
Theorem
182
§6.4.
Linear Systems on Curves
184
§6.5.
Projective
Embeddings of Curves
193
Exercises
204
Bibliography
207
§A. Books on Commutative Algebra
207
§B. Books on Algebraic Geometry
207
§C. Other Literature
208
Index
211
|
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| author_GND | (DE-588)142026077 |
| author_facet | Hulek, Klaus 1952- Verrill, Helena |
| author_role | aut |
| author_sort | Hulek, Klaus 1952- |
| author_variant | k h kh |
| building | Verbundindex |
| bvnumber | BV016981519 |
| classification_rvk | SK 240 |
| ctrlnum | (OCoLC)318418858 (DE-599)BVBBV016981519 |
| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:12:29Z |
| institution | BVB |
| isbn | 0821829521 9780821829523 |
| language | English |
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| physical | viii, 213 Seiten Diagramme |
| publishDate | 2003 |
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| publisher | American Mathematical Society |
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| series | Student mathematical library |
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| spelling | Hulek, Klaus 1952- Verfasser (DE-588)142026077 aut Elementare algebraische Geometrie Elementary algebraic geometry Klaus Hulek. Translated by Helena Verrill Providence, Rhode Island American Mathematical Society [2003] © 2003 viii, 213 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Student mathematical library Volume 20 Hier auch später erschienene, unveränderte Nachdrucke Geometría algebraica Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Algebraische Geometrie (DE-588)4001161-6 s DE-604 Verrill, Helena edt Erscheint auch als Online-Ausgabe 978-1-4704-2134-2 Student mathematical library Volume 20 (DE-604)BV013184751 20 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010256645&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hulek, Klaus 1952- Elementary algebraic geometry Student mathematical library Geometría algebraica Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4123623-3 |
| title | Elementary algebraic geometry |
| title_alt | Elementare algebraische Geometrie |
| title_auth | Elementary algebraic geometry |
| title_exact_search | Elementary algebraic geometry |
| title_full | Elementary algebraic geometry Klaus Hulek. Translated by Helena Verrill |
| title_fullStr | Elementary algebraic geometry Klaus Hulek. Translated by Helena Verrill |
| title_full_unstemmed | Elementary algebraic geometry Klaus Hulek. Translated by Helena Verrill |
| title_short | Elementary algebraic geometry |
| title_sort | elementary algebraic geometry |
| topic | Geometría algebraica Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Geometría algebraica Algebraische Geometrie Lehrbuch |
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