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math.AG2021★ 1 cited
Some observations on the dimension of Fano K-moduli
Jesus Martinez-Garcia, Cristiano Spotti
In this short note we show the unboundedness of the dimension of the K-moduli space of -dimensional Fano varieties, and that the dimension of the stack can also be unbounded whi…
math.AG2018★ 9 cited
Applications of the moduli continuity method to log K-stable pairs
Patricio Gallardo, Jesus Martinez-Garcia, Cristiano Spotti
The 'moduli continuity method' permits an explicit algebraisation of the Gromov-Hausdorff compactification of Kähler-Einstein metrics on Fano manifolds in some fundamental examples…
math.AG2017
Kähler-Einstein metrics on Q-smoothable Fano varieties, their moduli and some applications
Cristiano Spotti
We survey recent results on the existence of Kähler-Einstein metrics on certain smoothable Fano varieties, focusing on the importance of such metrics in the construction of compact…