36 citations · 155 across the 22 of their papers we have counts for
4 papers · 1 filter
Calabi-Yau metrics with conical singularities along line arrangements
Martin de Borbon, Cristiano Spotti
Given a weighted line arrangement in the projective plane, with weights satisfying natural constraint conditions, we show the existence of a Ricci-flat Kähler metric with cone sing…
Kähler-Einstein metrics: Old and New
Daniele Angella, Cristiano Spotti
We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of…
Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds
Cristiano Spotti, Song Sun
We exhibit the first non-trivial concrete examples of Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds in all complex dimensions bigger than tw…
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…