Seshadri constants and K-stability of Fano manifolds

Hamid Abban; Ziquan Zhuang

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arXiv · 2101.09246

Seshadri constants and K-stability of Fano manifolds

Hamid Abban·Ziquan Zhuang

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Abstract

We give a lower bound of the $\delta$-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 threefolds of Picard number one.

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Hamid Abban, Ziquan Zhuang. 2021-01-22. Seshadri constants and K-stability of Fano manifolds. https://arxiv.org/abs/2101.09246

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