K-stability of Log Fano Cone Singularities
In this thesis, we define the 𝛿-invariant for log Fano cone singularities, and show that the necessary and sufficient condition for K-semistability is 𝛿 ≥ 1. This generalizes the result of C. Li and K. Fujita. We also prove that on any log Fano cone singularity of dimension 𝑛 whose 𝛿-invariant is le...
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| Format: | Thesis |
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Massachusetts Institute of Technology
2022
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| Online Access: | https://hdl.handle.net/1721.1/145043 https://orcid.org/0000-0002-7133-9090 |