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• W2183036355 abstract "This thesis studies stability concepts in Algebraic Geometry. The notion of stability comes from Geometric Invariant Theory, introduced by D. Mumford, in order to construct moduli spaces. More recently, the space of stability conditions on a derived category was introduced by T. Bridgeland. In this thesis, we outline preliminaries such as complex manifolds, divisors and line bundles, sheaf theory and category theory. We then study the stability of vector bundles on curves of small genus and give an overview of Bridgeland stability conditions. We conclude by examining stability conditions on the category of coherent systems and the category of holomorphic triples in this framework." @default.
• W2183036355 created "2016-06-24" @default.
• W2183036355 creator A5035795037 @default.
• W2183036355 date "2007-01-01" @default.
• W2183036355 modified "2023-10-18" @default.
• W2183036355 title "Stability Concepts in Algebraic Geometry" @default.
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