K-stability of Fano threefolds of rank 4 and degree 24

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arxiv 2206.12208 v1 pith:ETRTLA3C submitted 2022-06-24 math.AG

Grigory Belousov , Konstantin Loginov This is my paper · ORCID

classification math.AG

keywords degreefanorankthreefoldsk-stabilityk-stableprovesmooth

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We prove that all smooth Fano threefolds of rank 4 and degree 24 are K-stable.

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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.
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.