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Ideal Closures and Sheaf StabilitySteinbuch, Jonathan 20 January 2021 (has links)
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.
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