K-stablity of Fano threefold hypersurfaces of index 1

Published 14 Sep 2024 in math.AG | (2409.09492v1)

Abstract: We settle the problem of K-stability of quasi-smooth Fano 3-fold hypersurfaces with Fano index 1 by providing lower bounds for their delta invariants. We use the method introduced by Abban and Zhuang for computing lower bounds of delta invariants on flags of hypersurfaces in the Fano 3-fold.

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