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On $K$-stability of $\mathbb{P}^3$ blown up along the disjoint union of a twisted cubic curve and a line

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arxiv 2202.04421 v2 pith:AKNJ3QVO submitted 2022-02-09 math.AG

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keywords alongcubiccurvedisjointlinetwistedunionblown
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We find all K-polystable smooth Fano threefolds that can be obtained as blowup of projective space along the disjoint union of a twisted cubic curve and a line.

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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. On K-stability of Fano's last Fanos

    math.AG 2025-07 accept novelty 7.0 of 10

    A smooth Fano threefold of Family no.2.16 is K-stable if a chosen finite automorphism group fixes no k-rational point of the singular locus of its discriminant quartic.

  2. $\delta$-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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