Elementary algebraic geometry:
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[2003]
|
| Series: | Student mathematical library
Volume 20 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | viii, 213 Seiten Diagramme |
| ISBN: | 0821829521 9780821829523 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV016981519 | ||
| 003 | DE-604 | ||
| 005 | 20230313 | ||
| 007 | t | ||
| 008 | 030319s2003 |||| |||| 00||| eng d | ||
| 020 | |a 0821829521 |9 0-8218-2952-1 | ||
| 020 | |a 9780821829523 |9 978-0-8218-2952-3 | ||
| 035 | |a (OCoLC)318418858 | ||
| 035 | |a (DE-599)BVBBV016981519 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-355 |a DE-703 |a DE-20 |a DE-384 |a DE-83 |a DE-11 | ||
| 082 | 0 | |a 516.35 |b H842 |2 21 | |
| 084 | |a SK 240 |0 (DE-625)143226: |2 rvk | ||
| 084 | |a 14-01 |2 msc | ||
| 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 | |
| 689 | 0 | 0 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Verrill, Helena |4 edt | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-2134-2 |
| 830 | 0 | |a Student mathematical library |v Volume 20 |w (DE-604)BV013184751 |9 20 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-010256645 | ||
Record in the Search Index
| _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
|
| any_adam_object | 1 |
| author | Hulek, Klaus 1952- |
| author2 | Verrill, Helena |
| author2_role | edt |
| author2_variant | h v hv |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01874nam a2200457 cb4500</leader><controlfield tag="001">BV016981519</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230313 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">030319s2003 |||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821829521</subfield><subfield code="9">0-8218-2952-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780821829523</subfield><subfield code="9">978-0-8218-2952-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)318418858</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV016981519</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.35</subfield><subfield code="b">H842</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 240</subfield><subfield code="0">(DE-625)143226:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hulek, Klaus</subfield><subfield code="d">1952-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)142026077</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Elementare algebraische Geometrie</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Elementary algebraic geometry</subfield><subfield code="c">Klaus Hulek. Translated by Helena Verrill</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, Rhode Island</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">[2003]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">viii, 213 Seiten</subfield><subfield code="b">Diagramme</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Student mathematical library</subfield><subfield code="v">Volume 20</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Hier auch später erschienene, unveränderte Nachdrucke</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometría algebraica</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4123623-3</subfield><subfield code="a">Lehrbuch</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Verrill, Helena</subfield><subfield code="4">edt</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-1-4704-2134-2</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Student mathematical library</subfield><subfield code="v">Volume 20</subfield><subfield code="w">(DE-604)BV013184751</subfield><subfield code="9">20</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-010256645</subfield></datafield></record></collection> |
| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV016981519 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:12:29Z |
| institution | BVB |
| isbn | 0821829521 9780821829523 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010256645 |
| oclc_num | 318418858 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-703 DE-20 DE-384 DE-83 DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-703 DE-20 DE-384 DE-83 DE-11 |
| physical | viii, 213 Seiten Diagramme |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Student mathematical library |
| series2 | Student mathematical library |
| 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 |
| url | 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 |
| volume_link | (DE-604)BV013184751 |
| work_keys_str_mv | AT hulekklaus elementarealgebraischegeometrie AT verrillhelena elementarealgebraischegeometrie AT hulekklaus elementaryalgebraicgeometry AT verrillhelena elementaryalgebraicgeometry |