5 papers
SNC Kähler-Einstein metrics and RCD spaces
Martin de Borbon, Cristiano Spotti
We show that Kähler-Einstein metrics with cone singularities along simple normal crossing (SNC) divisors define RCD spaces, both in the compact setting and in certain non-compact…
Yamabe-type problems on compact Hermitian manifolds
Daniele Angella, Francesco Pediconi, Carlo Scarpa +2
We introduce and study a one-parameter Hermitian deformation of the Yamabe problem on compact complex manifolds. The deformation is defined by adding natural torsion terms to the R…
On multiscale aspects of Kähler-Einstein metrics and algebraic geometry
Cristiano Spotti
We discuss how metric limits and rescalings of Kähler-Einstein metrics connect with Algebraic Geometry, mostly in relation to the study of moduli spaces of varieties, and singular…
A Kümmer construction for Chern-Ricci flat balanced manifolds
Federico Giusti, Cristiano Spotti
Given a non-Kähler Calabi-Yau orbifold with a finite family of isolated singularities endowed with a Chern-Ricci flat balanced metric, we show, via a gluing construction, that all…
Chern-Ricci flat balanced metrics on small resolutions of Calabi-Yau threefolds
Federico Giusti, Cristiano Spotti
Given a (smoothable) projective nodal Kähler Calabi-Yau threefold, we show, via a gluing construction, that all its - possibly non-Kähler - small resolutions admit Chern-Ricci fl…