Lectures on deformations of singularities:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bombay
Tata Inst. of Fundamental Research
1976
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| Schriftenreihe: | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / mathematics.
54. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | II, 127 S. |
Internformat
MARC
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| 245 | 1 | 0 | |a Lectures on deformations of singularities |
| 264 | 1 | |a Bombay |b Tata Inst. of Fundamental Research |c 1976 | |
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| 490 | 1 | |a Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / mathematics. |v 54. | |
| 650 | 7 | |a Deformatie |2 gtt | |
| 650 | 7 | |a Schémas (géométrie algébrique) |2 ram | |
| 650 | 7 | |a Singulariteiten |2 gtt | |
| 650 | 7 | |a Singularités (mathématiques) |2 ram | |
| 650 | 4 | |a Deformations of singularities | |
| 650 | 4 | |a Schemes (Algebraic geometry) | |
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Datensatz im Suchindex
| _version_ | 1804116410402603008 |
|---|---|
| adam_text | CONTENTS
Page
Introduction i
Part I: Formal Theory and Computations 1
1. Definition of deformations 1
2. Iarrobino s example of a O dimensional scheme which is not a
specialization of d distinct points 4
3. The meaning of flatness in terms of relations 7
4. Deformations of complete intersections 11
5. The case of Cohen Macaulay varieties of codimension 2 (Hilbert,
Schaps) 16
6. First order deformations of arbitrary X: Schle s singer s T. ¦•• 25
7. Versal deformations and Schlessinger s theorem. 34
8. Existence of formally versal deformations 40
9. The case that X is normal. 46
10. Deformation of a quotient by a finite group action 51
11. Deformation of cones. • 52
12. Theorems of Pinkham and Schlessinger on deformation of cones. 60
13. . Pinkham1 s computation for the cone over a rational curve in IP . 67
Part II: Elkik1 s Theorems on Algebraization 80
1. Solutions of systems of equations 80
2. Existence of solutions when A is t adically complete 82
3. The ca se of a henselian pair (A,0C) 93
4. Tougeron s lemma. 100
5. Existence of algebraic deformations of isolated singularities. .... 104
|
| any_adam_object | 1 |
| author | Artin, Michael |
| author_facet | Artin, Michael |
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| author_sort | Artin, Michael |
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| building | Verbundindex |
| bvnumber | BV001966910 |
| callnumber-first | Q - Science |
| callnumber-label | QA564 |
| callnumber-raw | QA564 |
| callnumber-search | QA564 |
| callnumber-sort | QA 3564 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 890 |
| ctrlnum | (OCoLC)3554747 (DE-599)BVBBV001966910 |
| dewey-full | 516.3/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/5 |
| dewey-search | 516.3/5 |
| dewey-sort | 3516.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:38:04Z |
| institution | BVB |
| language | English |
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| oclc_num | 3554747 |
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| physical | II, 127 S. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Tata Inst. of Fundamental Research |
| record_format | marc |
| series2 | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / mathematics. |
| spelling | Artin, Michael Verfasser aut Lectures on deformations of singularities Bombay Tata Inst. of Fundamental Research 1976 II, 127 S. txt rdacontent n rdamedia nc rdacarrier Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / mathematics. 54. Deformatie gtt Schémas (géométrie algébrique) ram Singulariteiten gtt Singularités (mathématiques) ram Deformations of singularities Schemes (Algebraic geometry) Deformation (DE-588)4070262-5 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Deformationstheorie (DE-588)4461771-9 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 s Deformation (DE-588)4070262-5 s DE-604 Deformationstheorie (DE-588)4461771-9 s mathematics. Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics 54. (DE-604)BV000015654 54. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001282744&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Artin, Michael Lectures on deformations of singularities Deformatie gtt Schémas (géométrie algébrique) ram Singulariteiten gtt Singularités (mathématiques) ram Deformations of singularities Schemes (Algebraic geometry) Deformation (DE-588)4070262-5 gnd Singularität Mathematik (DE-588)4077459-4 gnd Deformationstheorie (DE-588)4461771-9 gnd |
| subject_GND | (DE-588)4070262-5 (DE-588)4077459-4 (DE-588)4461771-9 |
| title | Lectures on deformations of singularities |
| title_auth | Lectures on deformations of singularities |
| title_exact_search | Lectures on deformations of singularities |
| title_full | Lectures on deformations of singularities |
| title_fullStr | Lectures on deformations of singularities |
| title_full_unstemmed | Lectures on deformations of singularities |
| title_short | Lectures on deformations of singularities |
| title_sort | lectures on deformations of singularities |
| topic | Deformatie gtt Schémas (géométrie algébrique) ram Singulariteiten gtt Singularités (mathématiques) ram Deformations of singularities Schemes (Algebraic geometry) Deformation (DE-588)4070262-5 gnd Singularität Mathematik (DE-588)4077459-4 gnd Deformationstheorie (DE-588)4461771-9 gnd |
| topic_facet | Deformatie Schémas (géométrie algébrique) Singulariteiten Singularités (mathématiques) Deformations of singularities Schemes (Algebraic geometry) Deformation Singularität Mathematik Deformationstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001282744&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000015654 |
| work_keys_str_mv | AT artinmichael lecturesondeformationsofsingularities |