Dagger closure
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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-201101177687
https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-201101177687
| Title: | Dagger closure |
| Authors: | Stäbler, Axel |
| Thesis advisor: | Prof. Dr. Holger Brenner |
| Thesis referee: | Prof. Dr. Manuel Blickle Prof. Anurag Singh PhD |
| Abstract: | We prove that solid closure and graded dagger closure agree for homogeneous ideals in two dimensional $\mathbb{N}$-graded domains of finite type over a field. We also prove that dagger closure is trivial for ideals in regular rings containing a field and that graded dagger closure is trivial for $\mathbb{N}$-graded regular rings of finite type over a field. Finally, we prove an inclusion result for graded dagger closure for homogeneous primary ideals in certain section rings of abelian varieties. |
| URL: | https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-201101177687 |
| Subject Keywords: | Idealabschlussoperation |
| Issue Date: | 17-Jan-2011 |
| Type of publication: | Dissertation oder Habilitation [doctoralThesis] |
| Appears in Collections: | FB06 - E-Dissertationen |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| thesis_staebler.pdf | Präsentationsformat | 948,46 kB | Adobe PDF | thesis_staebler.pdf  View/Open |
| thesis_staebler.tar.gz | Quellformat | 161,04 kB | GZIP | thesis_staebler.tar.gz View/Open |
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