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,...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1998
|
| Series: | Cambridge tracts in mathematics
132 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | 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 |
| Physical Description: | 1 Online-Ressource (xxi, 186 Seiten) |
| ISBN: | 9780511758928 |
| DOI: | 10.1017/CBO9780511758928 |
Staff View
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511758928 |
| language | English |
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| physical | 1 Online-Ressource (xxi, 186 Seiten) |
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| publishDate | 1998 |
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| 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 |