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K-stable Fano threefolds of rank 2 and degree 28

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arxiv 2304.12295 v2 pith:IJRYF2W7 submitted 2023-04-24 math.AG

Joseph Malbon This is my paper · ORCID
classification math.AG
keywords degreefanonormalranksmooththreefoldsbundlecases
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We prove that all smooth Fano threefolds with Picard rank 2 and degree 28 are K-polystable, except for some explicit cases which we describe. We also give a classification of the normal bundle of a rational normal quartic curve in a smooth quadric threefold.

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  1. $\delta$-invariants of log Fano planes

    math.AG 2025-05 conditional novelty 6.0 of 10

    Exact formulas are derived for the δ-invariant of (P2, λC_d) for all plane curves C_d of degree d ≤ 4, classified by singularity type.

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