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K-stable smooth Fano threefolds of Picard rank two

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arxiv 2210.14770 v2 pith:USHSEM3Z submitted 2022-10-26 math.AG

Ivan Cheltsov , Elena Denisova , Kento Fujita This is my paper · ORCID
classification math.AG
keywords fanok-stablesmooththreefoldsproveconditionexplicitfamilies
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We prove that all smooth Fano threefolds in the families 2.1, 2.2, 2.3, 2.4, 2.6 and 2.7 are K-stable, and we also prove that smooth Fano threefolds in the family 2.5 that satisfy one very explicit generality condition are K-stable.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

  2. On K-stability of $\mathbb P^3$ blown up along a smooth genus $2$ curve of degree $5$

    math.AG 2024-12 conditional novelty 6.0 of 10

    K-stability is established for infinitely many smooth members of Fano threefold family 2.19, with the main theorem giving a lower bound on local stability thresholds away from one open subset of the exceptional divisor.

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