Abstract
dc:description.abstractWe introduce Koszul type complexes associated to a linear map from any module to a free module, and vice versa to a linear map from a free module to an arbitrary module, generalizing both the classical Koszul complex and the family of Eagon-Northcott complexes. Given a short complex of finite free modules, we assemble these complexes to what we call Koszul bicomplexes. They are used in order to investigate the homology of the Koszul complexes in projective dimension one. As in the case of the classical Koszul complex this homology is found to be grade sensitive. In a special setup we obtain necessary conditions for a map of free modules to be lengthened to a short complex of free modules.
Degree
thesis:*- Level thesis:degree_level
- thesis.doctoral
- Grantor dc:publisher
- Universität Oldenburg
- Year
- 2004
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Ichim, Bogdan
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Repository record source_url
- http://oops.uni-oldenburg.de/125
- OAI identifier oai:identifier
- oai:oops.uni-oldenburg.de:125