Kodaira fibrations, Kähler groups, and finiteness properties
We construct classes of Kähler groups that do not have finite classifying spaces and are not commensurable to subdirect products of surface groups. Each of these groups is the fundamental group of the generic fibre of a holomorphic map from a product of Kodaira fibrations onto an elliptic curve
| Asıl Yazarlar: | , |
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| Materyal Türü: | Journal article |
| Baskı/Yayın Bilgisi: |
American Mathematical Society
2019
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| _version_ | 1826290437701238784 |
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| author | Bridson, M Isenrich, C |
| author_facet | Bridson, M Isenrich, C |
| author_sort | Bridson, M |
| collection | OXFORD |
| description | We construct classes of Kähler groups that do not have finite classifying spaces and are not commensurable to subdirect products of surface groups. Each of these groups is the fundamental group of the generic fibre of a holomorphic map from a product of Kodaira fibrations onto an elliptic curve |
| first_indexed | 2024-03-07T02:44:11Z |
| format | Journal article |
| id | oxford-uuid:ab7c29c3-16f6-4a30-8c10-4b5b89342aa3 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:44:11Z |
| publishDate | 2019 |
| publisher | American Mathematical Society |
| record_format | dspace |
| spelling | oxford-uuid:ab7c29c3-16f6-4a30-8c10-4b5b89342aa32022-03-27T03:22:10ZKodaira fibrations, Kähler groups, and finiteness propertiesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ab7c29c3-16f6-4a30-8c10-4b5b89342aa3Symplectic Elements at OxfordAmerican Mathematical Society2019Bridson, MIsenrich, CWe construct classes of Kähler groups that do not have finite classifying spaces and are not commensurable to subdirect products of surface groups. Each of these groups is the fundamental group of the generic fibre of a holomorphic map from a product of Kodaira fibrations onto an elliptic curve |
| spellingShingle | Bridson, M Isenrich, C Kodaira fibrations, Kähler groups, and finiteness properties |
| title | Kodaira fibrations, Kähler groups, and finiteness properties |
| title_full | Kodaira fibrations, Kähler groups, and finiteness properties |
| title_fullStr | Kodaira fibrations, Kähler groups, and finiteness properties |
| title_full_unstemmed | Kodaira fibrations, Kähler groups, and finiteness properties |
| title_short | Kodaira fibrations, Kähler groups, and finiteness properties |
| title_sort | kodaira fibrations kahler groups and finiteness properties |
| work_keys_str_mv | AT bridsonm kodairafibrationskahlergroupsandfinitenessproperties AT isenrichc kodairafibrationskahlergroupsandfinitenessproperties |