The red book of varieties and schemes: includes the Michigan lectures (1974) on curves and their Jacobians
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1999
|
| Ausgabe: | 2., expanded ed. |
| Schriftenreihe: | Lecture notes in mathematics
1358 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 304 S. graph. Darst. |
| ISBN: | 354063293X 9783540632931 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV012680245 | ||
| 003 | DE-604 | ||
| 005 | 20181107 | ||
| 007 | t | ||
| 008 | 990720s1999 gw d||| |||| 00||| ger d | ||
| 020 | |a 354063293X |c kart. : DM 69.00 |9 3-540-63293-X | ||
| 020 | |a 9783540632931 |9 978-3-540-63293-1 | ||
| 035 | |a (OCoLC)264198576 | ||
| 035 | |a (DE-599)BVBBV012680245 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a ger | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-91G |a DE-29T |a DE-355 |a DE-20 |a DE-19 |a DE-824 |a DE-706 |a DE-634 |a DE-83 |a DE-188 |a DE-11 |a DE-384 | ||
| 082 | 0 | |a 510 | |
| 082 | 0 | |a 516.35 | |
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a 14Kxx |2 msc | ||
| 084 | |a 14A10 |2 msc | ||
| 084 | |a 14H10 |2 msc | ||
| 084 | |a 14Lxx |2 msc | ||
| 084 | |a 14A15 |2 msc | ||
| 084 | |a 14Fxx |2 msc | ||
| 100 | 1 | |a Mumford, David |d 1937- |e Verfasser |0 (DE-588)115549021 |4 aut | |
| 245 | 1 | 0 | |a The red book of varieties and schemes |b includes the Michigan lectures (1974) on curves and their Jacobians |c David Mumford |
| 250 | |a 2., expanded ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1999 | |
| 300 | |a X, 304 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1358 | |
| 650 | 0 | 7 | |a Schema |g Mathematik |0 (DE-588)4205720-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Schema |0 (DE-588)4052238-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mannigfaltigkeit |0 (DE-588)4037379-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
| 655 | 7 | |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
| 689 | 0 | 0 | |a Mannigfaltigkeit |0 (DE-588)4037379-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Schema |g Mathematik |0 (DE-588)4205720-6 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
| 689 | 2 | |5 DE-604 | |
| 689 | 3 | 0 | |a Schema |0 (DE-588)4052238-6 |D s |
| 689 | 3 | |5 DE-604 | |
| 830 | 0 | |a Lecture notes in mathematics |v 1358 |w (DE-604)BV000676446 |9 1358 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008618511&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-008618511 | ||
Datensatz im Suchindex
| _version_ | 1804127342137704448 |
|---|---|
| adam_text | Table of Contents
Preface to the Second Edition V
Preface to the First Edition VII
Table of Contents IX
I. Varieties 1
§1. Some algebra 1
§2. Irreducible algebraic sets 5
§3. Definition of a morphism 11
§4. Sheaves and affine varieties 16
§5. Definition of prevarieties and morphisms 25
§6. Products and the Hausdorff Axiom 33
§7. Dimension 40
§8. The fibres of a morphism 48
§9. Complete varieties 54
§10. Complex varieties 57
II. Preschemes 65
§1. Spec (R) 66
§2. The category of preschemes 77
§3. Varieties and preschemes 86
§4. Fields of definition 94
§5. Closed subpreschemes 103
§6. The functor of points of a prescheme 112
§7. Proper morphisms and finite morphisms 121
§8. Specialization 127
III. Local Properties of Schemes 137
§1. Quasi coherent modules 138
§2. Coherent modules 146
§3. Tangent cones 153
§4. Non singularity and differentials 164
§5. Etale morphisms 174
§6. Uniformizing parameters 183
X Table of Contents
§7. Non singularity and the UFD property 187
§8. Normal varieties and normalization 196
§9. Zariski s Main Theorem 207
§10. Flat and smooth morphisms 214
Appendix: Curves and Their Jacobians 225
Lecture I: What is a Curve and How Explicitly
Can We Describe Them? 229
Lecture II: The Moduli Space of Curves: Definition, Coordinatization,
and Some Properties 243
Lecture III: How Jacobians and Theta Functions Arise 257
Lecture IV: The Torelli Theorem and the Schottky Problem 271
Survey of Work on the Schottky Problem up to 1996
by Enrico Arbarello 287
References: The Red Book of Varieties and Schemes 293
Guide to the Literature and References:
Curves and Their Jacobians 294
Supplementary Bibliography on the Schottky Problem
by Enrico Arbarello 301
|
| any_adam_object | 1 |
| author | Mumford, David 1937- |
| author_GND | (DE-588)115549021 |
| author_facet | Mumford, David 1937- |
| author_role | aut |
| author_sort | Mumford, David 1937- |
| author_variant | d m dm |
| building | Verbundindex |
| bvnumber | BV012680245 |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)264198576 (DE-599)BVBBV012680245 |
| dewey-full | 510 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 516 - Geometry |
| dewey-raw | 510 516.35 |
| dewey-search | 510 516.35 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2., expanded ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02331nam a2200601 cb4500</leader><controlfield tag="001">BV012680245</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20181107 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">990720s1999 gw d||| |||| 00||| ger d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">354063293X</subfield><subfield code="c">kart. : DM 69.00</subfield><subfield code="9">3-540-63293-X</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540632931</subfield><subfield code="9">978-3-540-63293-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)264198576</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV012680245</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">ger</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-384</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.35</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14Kxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14A10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14H10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14Lxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14A15</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14Fxx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mumford, David</subfield><subfield code="d">1937-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)115549021</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The red book of varieties and schemes</subfield><subfield code="b">includes the Michigan lectures (1974) on curves and their Jacobians</subfield><subfield code="c">David Mumford</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2., expanded ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1999</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 304 S.</subfield><subfield code="b">graph. Darst.</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">Lecture notes in mathematics</subfield><subfield code="v">1358</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Schema</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4205720-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Schema</subfield><subfield code="0">(DE-588)4052238-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4037379-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</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)4151278-9</subfield><subfield code="a">Einführung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4151278-9</subfield><subfield code="a">Einführung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4037379-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Schema</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4205720-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" 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="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Schema</subfield><subfield code="0">(DE-588)4052238-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">1358</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">1358</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</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=008618511&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:BVB01-008618511</subfield></datafield></record></collection> |
| genre | (DE-588)4151278-9 Einführung gnd-content |
| genre_facet | Einführung |
| id | DE-604.BV012680245 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:31:49Z |
| institution | BVB |
| isbn | 354063293X 9783540632931 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008618511 |
| oclc_num | 264198576 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-29T DE-355 DE-BY-UBR DE-20 DE-19 DE-BY-UBM DE-824 DE-706 DE-634 DE-83 DE-188 DE-11 DE-384 |
| owner_facet | DE-91G DE-BY-TUM DE-29T DE-355 DE-BY-UBR DE-20 DE-19 DE-BY-UBM DE-824 DE-706 DE-634 DE-83 DE-188 DE-11 DE-384 |
| physical | X, 304 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Mumford, David 1937- Verfasser (DE-588)115549021 aut The red book of varieties and schemes includes the Michigan lectures (1974) on curves and their Jacobians David Mumford 2., expanded ed. Berlin [u.a.] Springer 1999 X, 304 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1358 Schema Mathematik (DE-588)4205720-6 gnd rswk-swf Schema (DE-588)4052238-6 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Mannigfaltigkeit (DE-588)4037379-4 s DE-604 Schema Mathematik (DE-588)4205720-6 s Algebraische Geometrie (DE-588)4001161-6 s Schema (DE-588)4052238-6 s Lecture notes in mathematics 1358 (DE-604)BV000676446 1358 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008618511&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mumford, David 1937- The red book of varieties and schemes includes the Michigan lectures (1974) on curves and their Jacobians Lecture notes in mathematics Schema Mathematik (DE-588)4205720-6 gnd Schema (DE-588)4052238-6 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4205720-6 (DE-588)4052238-6 (DE-588)4037379-4 (DE-588)4001161-6 (DE-588)4151278-9 |
| title | The red book of varieties and schemes includes the Michigan lectures (1974) on curves and their Jacobians |
| title_auth | The red book of varieties and schemes includes the Michigan lectures (1974) on curves and their Jacobians |
| title_exact_search | The red book of varieties and schemes includes the Michigan lectures (1974) on curves and their Jacobians |
| title_full | The red book of varieties and schemes includes the Michigan lectures (1974) on curves and their Jacobians David Mumford |
| title_fullStr | The red book of varieties and schemes includes the Michigan lectures (1974) on curves and their Jacobians David Mumford |
| title_full_unstemmed | The red book of varieties and schemes includes the Michigan lectures (1974) on curves and their Jacobians David Mumford |
| title_short | The red book of varieties and schemes |
| title_sort | the red book of varieties and schemes includes the michigan lectures 1974 on curves and their jacobians |
| title_sub | includes the Michigan lectures (1974) on curves and their Jacobians |
| topic | Schema Mathematik (DE-588)4205720-6 gnd Schema (DE-588)4052238-6 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Schema Mathematik Schema Mannigfaltigkeit Algebraische Geometrie Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008618511&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT mumforddavid theredbookofvarietiesandschemesincludesthemichiganlectures1974oncurvesandtheirjacobians |