Ideal Closures and Sheaf Stability
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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202101203979
https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202101203979
Title: | Ideal Closures and Sheaf Stability |
Authors: | Steinbuch, Jonathan |
ORCID of the author: | https://orcid.org/0000-0002-7464-5376 |
Thesis advisor: | Prof. Dr. Holger Brenner |
Thesis referee: | Prof. Dr. Markus Spitzweck |
Abstract: | The two main parts of this doctoral thesis are a theorem that tight closure is contained in continuous closure via axes closure on the one hand and an algorithm to decide semistability of sheaves (or geometric vector bundles) via reduction to a linear algebra problem on the other hand. The sheaf stability algorithm was explicitly implemented by the author. |
URL: | https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-202101203979 |
Subject Keywords: | sheaf stability; ideal closures; computer algebra; tight closure; stable vector bundles |
Issue Date: | 20-Jan-2021 |
License name: | Attribution-NonCommercial-ShareAlike 3.0 Germany |
License url: | http://creativecommons.org/licenses/by-nc-sa/3.0/de/ |
Type of publication: | Dissertation oder Habilitation [doctoralThesis] |
Appears in Collections: | FB06 - E-Dissertationen |
Files in This Item:
File | Description | Size | Format | |
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thesis_steinbuch.pdf | Präsentationsformat | 620,82 kB | Adobe PDF | thesis_steinbuch.pdf View/Open |
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