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math.AG2025
K-Moduli of Fano Threefolds of Family 3.3
Erroxe Etxabarri-Alberdi, James Matthew Jones, Theodoros Stylianos Papazachariou
We explicitly fully describe the K-moduli space of Fano threefold family number 3.3. We first show that K-semistable Fano varieties with volume greater than 18 are Gorenstein canon…
math.AG2023
One-dimensional components in the K-moduli of smooth Fano 3-folds
Hamid Abban, Ivan Cheltsov, Elena Denisova +5
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…
math.AG2023
On local delta invariant of del Pezzo surfaces
Erroxe Etxabarri Alberdi
We complete the classification of local stability thresholds for smooth del Pezzo surfaces of degree~2. In particular, we show that this number is irrational if and only if a uniqu…