On K-stability of one-nodal prime Fano threefolds of genus $12$
We show that general one-nodal prime Fano threefolds of genus $12$ are K-polystable.
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arXiv subjects
Elena Denisova
Publications and source records attributed to Elena Denisova.
$δ$-invariants of Du Val del Pezzo surfaces of degree $\ge 4$
In this article, we compute $δ$-invariants of Du Val del Pezzo surfaces of degree $\ge 4$.
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$δ$-invariants of Du Val del Pezzo surfaces of degree $3$
In this article, we compute $δ$-invariant of Du Val del Pezzo surfaces of degree $3$.
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$δ$-invariants of Du Val del Pezzo surfaces of degree 2
In this article, we compute $δ$-invariants of Du Val del Pezzo surfaces of degree 2.
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$δ$-invariants of Du Val del Pezzo surfaces of degree 1
In this article, we compute $δ$-invariants of Du Val del Pezzo surfaces of degree 1.
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$δ$-invariants of log Fano planes
We compute the $δ$-invariant for pairs $(\mathbb{P}^2, λC_d)$, where $C_d$ is a plane curve of degree $d \leq 4$. These computations provide new examples of $K$-stable and $K$-semistable log Fano pairs, and contribute to the study of $K$-stability of log Fano varieties via the Abban-Zhuang method, which reduces higher-dimensional problems to the surface case.
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K-stability of Fano 3-folds of Picard rank 3 and degree 20
We prove K-stability of smooth Fano 3-folds of Picard rank 3 and degree 20 that satisfy very explicit generality condition.
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K-stable smooth Fano threefolds of Picard rank two
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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One-dimensional components in the K-moduli of smooth Fano 3-folds
By identifying K-polystable limits in 4 specific deformations families of smooth Fano 3-folds, we complete the classification of one-dimensional components in the K-moduli space of smoothable Fano 3-folds.
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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
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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