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K-stablity of Fano threefold hypersurfaces of index 1

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arxiv 2409.09492 v3 pith:7HJJYRUK submitted 2024-09-14 math.AG

Livia Campo , Takuzo Okada This is my paper · ORCID
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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  1. A survey on birational Rigidity of threefold Weighted Complete Intersections

    math.AG 2025-08 accept novelty 2.0 of 10

    A survey that collects and organizes the birational rigidity, solidity, and rationality results for Fano threefold weighted complete intersections, including tables and open problems.

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