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arxiv: 2409.09492 · v3 · pith:7HJJYRUKnew · submitted 2024-09-14 · 🧮 math.AG

K-stablity of Fano threefold hypersurfaces of index 1

classification 🧮 math.AG
keywords fanohypersurfacesboundsdeltafoldindexinvariantslower
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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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