Mixed Hodge structures and singularities
This 1998 book is both an introduction to, and a survey of, some topics of singularity theory; in particular the studying of singularities by means of differential forms. Here some ideas and notions that arose in global algebraic geometry, namely mixed Hodge structures and the theory of period maps,...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1998
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| Schriftenreihe: | Cambridge tracts in mathematics
132 |
| Schlagworte: | |
| Online-Zugang: | DE-12 DE-92 DE-355 URL des Erstveröffentlichers |
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| 100 | 1 | |a Kulikov, Valentin S. |d 1948- |e Verfasser |0 (DE-588)173143164 |4 aut | |
| 245 | 1 | 0 | |a Mixed Hodge structures and singularities |c Valentine S. Kulikov |
| 246 | 1 | 3 | |a Mixed Hodge Structures & Singularities |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1998 | |
| 300 | |a 1 Online-Ressource (xxi, 186 Seiten) | ||
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| 337 | |b c |2 rdamedia | ||
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| 490 | 0 | |a Cambridge tracts in mathematics |v 132 | |
| 520 | |a This 1998 book is both an introduction to, and a survey of, some topics of singularity theory; in particular the studying of singularities by means of differential forms. Here some ideas and notions that arose in global algebraic geometry, namely mixed Hodge structures and the theory of period maps, are developed in the local situation to study the case of isolated singularities of holomorphic functions. The author introduces the Gauss–Manin connection on the vanishing cohomology of a singularity, that is on the cohomology fibration associated to the Milnor fibration, and draws on the work of Brieskorn and Steenbrink to calculate this connection, and the limit mixed Hodge structure. This will be an excellent resource for all researchers whose interests lie in singularity theory, and algebraic or differential geometry | ||
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| 650 | 0 | 7 | |a Singularität |g Mathematik |0 (DE-588)4077459-4 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Kulikov, Valentin S. 1948- |
| author_GND | (DE-588)173143164 |
| author_facet | Kulikov, Valentin S. 1948- |
| author_role | aut |
| author_sort | Kulikov, Valentin S. 1948- |
| author_variant | v s k vs vsk |
| building | Verbundindex |
| bvnumber | BV043941616 |
| classification_rvk | SK 240 SK 320 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511758928 (OCoLC)967679231 (DE-599)BVBBV043941616 |
| 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 |
| doi_str_mv | 10.1017/CBO9780511758928 |
| format | Electronic eBook |
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| id | DE-604.BV043941616 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T05:34:00Z |
| institution | BVB |
| isbn | 9780511758928 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350586 |
| oclc_num | 967679231 |
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| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (xxi, 186 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Kulikov, Valentin S. 1948- Verfasser (DE-588)173143164 aut Mixed Hodge structures and singularities Valentine S. Kulikov Mixed Hodge Structures & Singularities Cambridge Cambridge University Press 1998 1 Online-Ressource (xxi, 186 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 132 This 1998 book is both an introduction to, and a survey of, some topics of singularity theory; in particular the studying of singularities by means of differential forms. Here some ideas and notions that arose in global algebraic geometry, namely mixed Hodge structures and the theory of period maps, are developed in the local situation to study the case of isolated singularities of holomorphic functions. The author introduces the Gauss–Manin connection on the vanishing cohomology of a singularity, that is on the cohomology fibration associated to the Milnor fibration, and draws on the work of Brieskorn and Steenbrink to calculate this connection, and the limit mixed Hodge structure. This will be an excellent resource for all researchers whose interests lie in singularity theory, and algebraic or differential geometry Hodge theory Singularities (Mathematics) Hodge-Theorie (DE-588)4135967-7 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 gnd rswk-swf Singularität Mathematik (DE-588)4077459-4 s Hodge-Theorie (DE-588)4135967-7 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-62060-4 https://doi.org/10.1017/CBO9780511758928 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Kulikov, Valentin S. 1948- Mixed Hodge structures and singularities Hodge theory Singularities (Mathematics) Hodge-Theorie (DE-588)4135967-7 gnd Singularität Mathematik (DE-588)4077459-4 gnd |
| subject_GND | (DE-588)4135967-7 (DE-588)4077459-4 |
| title | Mixed Hodge structures and singularities |
| title_alt | Mixed Hodge Structures & Singularities |
| title_auth | Mixed Hodge structures and singularities |
| title_exact_search | Mixed Hodge structures and singularities |
| title_full | Mixed Hodge structures and singularities Valentine S. Kulikov |
| title_fullStr | Mixed Hodge structures and singularities Valentine S. Kulikov |
| title_full_unstemmed | Mixed Hodge structures and singularities Valentine S. Kulikov |
| title_short | Mixed Hodge structures and singularities |
| title_sort | mixed hodge structures and singularities |
| topic | Hodge theory Singularities (Mathematics) Hodge-Theorie (DE-588)4135967-7 gnd Singularität Mathematik (DE-588)4077459-4 gnd |
| topic_facet | Hodge theory Singularities (Mathematics) Hodge-Theorie Singularität Mathematik |
| url | https://doi.org/10.1017/CBO9780511758928 |
| work_keys_str_mv | AT kulikovvalentins mixedhodgestructuresandsingularities AT kulikovvalentins mixedhodgestructuressingularities |