Ideal Closures and Sheaf Stability

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Title: Ideal Closures and Sheaf Stability
Authors: Steinbuch, Jonathan
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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.
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
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Type of publication: Dissertation oder Habilitation [doctoralThesis]
Appears in Collections:FB06 - E-Dissertationen

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