Joseph Malbon

collaborators

4 papers

math.AG2026

K-moduli of Fano threefolds of rank 2 and degree 28

Joseph Malbon

We find all possible K-polystable degenerations of smooth K-polystable Fano threefolds in the family \textnumero2.21, and describe the component of the moduli space $M^\text{K-ps}_…

math.AG2026

The moduli space of genus $8$ Fano $3$ -folds with two $\frac{1}{2} (1, 1, 1)$ -points: rationality and K-stability

Joseph Malbon, Alex Massarenti, Francesco Zucconi

Let $F_{8, 2 \times \frac{1}{2} (1, 1, 1)}$ be the moduli space of genus $8$ Fano $3$ -folds with two terminal quotient singularities of type $\frac{1}{2} (1, 1, 1)$ . We prove that $\mathca…

math.AG2025

Equivariant rationality of Fano threefolds in the family \textnumero 2.12

Oliver Li, Joseph Malbon, Antoine Pinardin

We prove that a faithful group action on the smooth complete intersection $X$ of three divisors of bidegree $(1, 1)$ in $\p^3\times\p^3$ is linearisable if and only if $\rk(\pic^G(X…

math.AG2025

K-stable Fano threefolds of rank 2 and degree 28

Joseph Malbon

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 n…

K-moduli of Fano threefolds of rank 2 and degree 28

The moduli space of genus 8 Fano 3-folds with two 21​(1,1,1)-points: rationality and K-stability

Equivariant rationality of Fano threefolds in the family \textnumero 2.12

K-stable Fano threefolds of rank 2 and degree 28

The moduli space of genus $8$ Fano $3$ -folds with two $\frac{1}{2} (1, 1, 1)$ -points: rationality and K-stability