Introduction to singularities and deformations:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2007
|
| Schriftenreihe: | Springer Monographs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 471 S. graph. Darst. |
| ISBN: | 3540283803 9783540283805 9783642066580 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV021758718 | ||
| 003 | DE-604 | ||
| 005 | 20130523 | ||
| 007 | t | ||
| 008 | 061009s2007 d||| |||| 00||| eng d | ||
| 020 | |a 3540283803 |9 3-540-28380-3 | ||
| 020 | |a 9783540283805 |9 978-3-540-28380-5 | ||
| 020 | |a 9783642066580 |c pbk. |9 978-3-642-06658-0 | ||
| 035 | |a (OCoLC)76948865 | ||
| 035 | |a (DE-599)BVBBV021758718 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-824 |a DE-355 |a DE-703 |a DE-384 |a DE-29T |a DE-20 |a DE-739 |a DE-11 |a DE-188 |a DE-19 | ||
| 050 | 0 | |a QC20.7.S54 | |
| 082 | 0 | |a 515/.942 |2 22 | |
| 084 | |a SK 240 |0 (DE-625)143226: |2 rvk | ||
| 084 | |a SK 340 |0 (DE-625)143232: |2 rvk | ||
| 084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
| 100 | 1 | |a Greuel, Gert-Martin |d 1944- |e Verfasser |0 (DE-588)108556921 |4 aut | |
| 245 | 1 | 0 | |a Introduction to singularities and deformations |c G.-M. Greuel ; C. Lossen ; E. Shustin |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2007 | |
| 300 | |a XII, 471 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Springer Monographs in mathematics | |
| 650 | 4 | |a Déformations de singularités | |
| 650 | 4 | |a Singularités (Mathématiques) | |
| 650 | 4 | |a Deformations of singularities | |
| 650 | 4 | |a Singularities (Mathematics) | |
| 650 | 0 | 7 | |a Kurvensingularität |0 (DE-588)4166228-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Singularität |g Mathematik |0 (DE-588)4077459-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Hyperflächensingularität |0 (DE-588)4161055-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Deformation |g Mathematik |0 (DE-588)4011284-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Analytischer Raum |0 (DE-588)4001871-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Singularität |g Mathematik |0 (DE-588)4077459-4 |D s |
| 689 | 0 | 1 | |a Deformation |g Mathematik |0 (DE-588)4011284-6 |D s |
| 689 | 0 | 2 | |a Analytischer Raum |0 (DE-588)4001871-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Kurvensingularität |0 (DE-588)4166228-3 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Hyperflächensingularität |0 (DE-588)4161055-6 |D s |
| 689 | 2 | |5 DE-604 | |
| 700 | 1 | |a Lossen, Christoph |e Verfasser |0 (DE-588)115092900 |4 aut | |
| 700 | 1 | |a Shustin, Eugenii |e Verfasser |4 aut | |
| 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=014971843&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-014971843 | ||
Datensatz im Suchindex
| _version_ | 1804135619951067136 |
|---|---|
| adam_text | Contents
Chapter I Singularity Theory
1
1.1 Weierstraß
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
1.10
2
2.1
2.2
2.3
2.4
3
3.1
3.2
3.3
3.4
Chapter II. Local Deformation Theory
1
1.1
1.2
1.3 Versal
1.4
1.5
2
XII Contents
2.1 Equisingular
2.2
2.3
2.4
2.5
2.6
2.7
2.8
Appendix A. Sheaves
A.I Presheaves and Sheaves
A.2 Gluing Sheaves
A.3 Sheaves of Rings and Modules
A.
A.
A.
A.7 Coherent Sheaves
A.8 Sheaf Cohomology
A.
Appendix B. Commutative Algebra
B.I Associated Primes and Primary Decomposition
B.2 Dimension Theory
B.3 Tensor Product and Flatness
B.4 Artin-Rees and Krull Intersection Theorem
B.5 The Local Criterion of Flatness
B.6 The
B.7 Regular Sequences and Depth
B.8 Cohen-Macaulay, Flatness and Fibres
B.9 Auslander-Buchsbaum Formula
Appendix C. Formal Deformation Theory
C.I Functors of Artin Rings
C.2 Obstructions
C.3 The Cotangent Complex
C.4 Cotangent Cohomology
C.5 Relation to Deformation Theory
References
Index
|
| adam_txt |
Contents
Chapter I Singularity Theory
1
1.1 Weierstraß
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
1.10
2
2.1
2.2
2.3
2.4
3
3.1
3.2
3.3
3.4
Chapter II. Local Deformation Theory
1
1.1
1.2
1.3 Versal
1.4
1.5
2
XII Contents
2.1 Equisingular
2.2
2.3
2.4
2.5
2.6
2.7
2.8
Appendix A. Sheaves
A.I Presheaves and Sheaves
A.2 Gluing Sheaves
A.3 Sheaves of Rings and Modules
A.
A.
A.
A.7 Coherent Sheaves
A.8 Sheaf Cohomology
A.
Appendix B. Commutative Algebra
B.I Associated Primes and Primary Decomposition
B.2 Dimension Theory
B.3 Tensor Product and Flatness
B.4 Artin-Rees and Krull Intersection Theorem
B.5 The Local Criterion of Flatness
B.6 The
B.7 Regular Sequences and Depth
B.8 Cohen-Macaulay, Flatness and Fibres
B.9 Auslander-Buchsbaum Formula
Appendix C. Formal Deformation Theory
C.I Functors of Artin Rings
C.2 Obstructions
C.3 The Cotangent Complex
C.4 Cotangent Cohomology
C.5 Relation to Deformation Theory
References
Index |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Greuel, Gert-Martin 1944- Lossen, Christoph Shustin, Eugenii |
| author_GND | (DE-588)108556921 (DE-588)115092900 |
| author_facet | Greuel, Gert-Martin 1944- Lossen, Christoph Shustin, Eugenii |
| author_role | aut aut aut |
| author_sort | Greuel, Gert-Martin 1944- |
| author_variant | g m g gmg c l cl e s es |
| building | Verbundindex |
| bvnumber | BV021758718 |
| callnumber-first | Q - Science |
| callnumber-label | QC20 |
| callnumber-raw | QC20.7.S54 |
| callnumber-search | QC20.7.S54 |
| callnumber-sort | QC 220.7 S54 |
| callnumber-subject | QC - Physics |
| classification_rvk | SK 240 SK 340 SK 370 |
| ctrlnum | (OCoLC)76948865 (DE-599)BVBBV021758718 |
| dewey-full | 515/.942 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.942 |
| dewey-search | 515/.942 |
| dewey-sort | 3515 3942 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02481nam a2200589 c 4500</leader><controlfield tag="001">BV021758718</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20130523 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">061009s2007 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540283803</subfield><subfield code="9">3-540-28380-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540283805</subfield><subfield code="9">978-3-540-28380-5</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642066580</subfield><subfield code="c">pbk.</subfield><subfield code="9">978-3-642-06658-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)76948865</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV021758718</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-824</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC20.7.S54</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.942</subfield><subfield code="2">22</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">SK 340</subfield><subfield code="0">(DE-625)143232:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 370</subfield><subfield code="0">(DE-625)143234:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Greuel, Gert-Martin</subfield><subfield code="d">1944-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)108556921</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Introduction to singularities and deformations</subfield><subfield code="c">G.-M. Greuel ; C. Lossen ; E. Shustin</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2007</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 471 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="0" ind2=" "><subfield code="a">Springer Monographs in mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Déformations de singularités</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Singularités (Mathématiques)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Deformations of singularities</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Singularities (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kurvensingularität</subfield><subfield code="0">(DE-588)4166228-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Singularität</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4077459-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hyperflächensingularität</subfield><subfield code="0">(DE-588)4161055-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Deformation</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4011284-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Analytischer Raum</subfield><subfield code="0">(DE-588)4001871-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Singularität</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4077459-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Deformation</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4011284-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Analytischer Raum</subfield><subfield code="0">(DE-588)4001871-4</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">Kurvensingularität</subfield><subfield code="0">(DE-588)4166228-3</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">Hyperflächensingularität</subfield><subfield code="0">(DE-588)4161055-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lossen, Christoph</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)115092900</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Shustin, Eugenii</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</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=014971843&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:BVB01-014971843</subfield></datafield></record></collection> |
| id | DE-604.BV021758718 |
| illustrated | Illustrated |
| index_date | 2024-07-02T15:34:26Z |
| indexdate | 2024-07-09T20:43:24Z |
| institution | BVB |
| isbn | 3540283803 9783540283805 9783642066580 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014971843 |
| oclc_num | 76948865 |
| open_access_boolean | |
| owner | DE-824 DE-355 DE-BY-UBR DE-703 DE-384 DE-29T DE-20 DE-739 DE-11 DE-188 DE-19 DE-BY-UBM |
| owner_facet | DE-824 DE-355 DE-BY-UBR DE-703 DE-384 DE-29T DE-20 DE-739 DE-11 DE-188 DE-19 DE-BY-UBM |
| physical | XII, 471 S. graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer Monographs in mathematics |
| spelling | Greuel, Gert-Martin 1944- Verfasser (DE-588)108556921 aut Introduction to singularities and deformations G.-M. Greuel ; C. Lossen ; E. Shustin Berlin [u.a.] Springer 2007 XII, 471 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer Monographs in mathematics Déformations de singularités Singularités (Mathématiques) Deformations of singularities Singularities (Mathematics) Kurvensingularität (DE-588)4166228-3 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Hyperflächensingularität (DE-588)4161055-6 gnd rswk-swf Deformation Mathematik (DE-588)4011284-6 gnd rswk-swf Analytischer Raum (DE-588)4001871-4 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 s Deformation Mathematik (DE-588)4011284-6 s Analytischer Raum (DE-588)4001871-4 s DE-604 Kurvensingularität (DE-588)4166228-3 s Hyperflächensingularität (DE-588)4161055-6 s Lossen, Christoph Verfasser (DE-588)115092900 aut Shustin, Eugenii Verfasser aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014971843&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Greuel, Gert-Martin 1944- Lossen, Christoph Shustin, Eugenii Introduction to singularities and deformations Déformations de singularités Singularités (Mathématiques) Deformations of singularities Singularities (Mathematics) Kurvensingularität (DE-588)4166228-3 gnd Singularität Mathematik (DE-588)4077459-4 gnd Hyperflächensingularität (DE-588)4161055-6 gnd Deformation Mathematik (DE-588)4011284-6 gnd Analytischer Raum (DE-588)4001871-4 gnd |
| subject_GND | (DE-588)4166228-3 (DE-588)4077459-4 (DE-588)4161055-6 (DE-588)4011284-6 (DE-588)4001871-4 |
| title | Introduction to singularities and deformations |
| title_auth | Introduction to singularities and deformations |
| title_exact_search | Introduction to singularities and deformations |
| title_exact_search_txtP | Introduction to singularities and deformations |
| title_full | Introduction to singularities and deformations G.-M. Greuel ; C. Lossen ; E. Shustin |
| title_fullStr | Introduction to singularities and deformations G.-M. Greuel ; C. Lossen ; E. Shustin |
| title_full_unstemmed | Introduction to singularities and deformations G.-M. Greuel ; C. Lossen ; E. Shustin |
| title_short | Introduction to singularities and deformations |
| title_sort | introduction to singularities and deformations |
| topic | Déformations de singularités Singularités (Mathématiques) Deformations of singularities Singularities (Mathematics) Kurvensingularität (DE-588)4166228-3 gnd Singularität Mathematik (DE-588)4077459-4 gnd Hyperflächensingularität (DE-588)4161055-6 gnd Deformation Mathematik (DE-588)4011284-6 gnd Analytischer Raum (DE-588)4001871-4 gnd |
| topic_facet | Déformations de singularités Singularités (Mathématiques) Deformations of singularities Singularities (Mathematics) Kurvensingularität Singularität Mathematik Hyperflächensingularität Deformation Mathematik Analytischer Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014971843&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT greuelgertmartin introductiontosingularitiesanddeformations AT lossenchristoph introductiontosingularitiesanddeformations AT shustineugenii introductiontosingularitiesanddeformations |