Seshadri constants and K-stability of Fano manifolds

We give a lower bound of the δ-invariants of ample line bundles in terms of Seshadri constants. As applications, we prove the uniform K-stability of infinitely many families of Fano hypersurfaces of arbitrarily large index, as well as the uniform K-stability of most families of smooth Fano threefold...

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Bibliographic Details
Main Authors: Hamid Abban, Ziquan Zhuang
Format: Default Article
Published: 2023
Subjects:
Fano varieties
K-stability
Seshadri constant
Online Access:https://hdl.handle.net/2134/19614675.v1
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