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K-stable Fano threefolds of rank 2 and degree 28

· 2023 · math.AG · arXiv 2304.12295

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abstract

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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$\delta$-invariants of log Fano planes

math.AG · 2025-05-28 · conditional · novelty 6.0

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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  • $\delta$-invariants of log Fano planes math.AG · 2025-05-28 · conditional · none · ref 23 · internal anchor

    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.