1 citations · 1 across the 3 of their papers we have counts for
5 papers
Extremal metrics on the total space of destabilising test configurations
Lars Martin Sektnan, Cristiano Spotti
We construct extremal metrics on the total space of certain destabilising test configurations for strictly semistable Kähler manifolds. This produces infinitely many new examples o…
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…
Remarks on Chern-Einstein Hermitian metrics
Daniele Angella, Simone Calamai, Cristiano Spotti
We study some basic properties and examples of Hermitian metrics on complex manifolds whose traces of the curvature of the Chern connection are proportional to the metric itself.
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…
Degenerations of Kähler-Einstein Fano Manifolds
Cristiano Spotti
In this Thesis, I investigate how Fano manifolds equipped with a Kahler-Einstein metric can degenerate as metric spaces (in the Gromov-Hausdorff topology) and some of the relations…