Joseph Malbon

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20232026

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math.AG2024

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.AG2024

Automorphisms of Fano threefolds of rank 2 and degree 28

Joseph Malbon

We describe the automorphism groups of smooth Fano threefolds of rank 2 and degree 28 in the cases where they are finite.

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

Automorphisms of 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