59 citations · 129 across the 20 of their papers we have counts for
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Deformations of log Calabi-Yau pairs can be obstructed
Simon Felten, Andrea Petracci, Sharon Robins
We exhibit examples of pairs where is a smooth projective variety and is an anticanonical reduced simple normal crossing divisor such that the deformations of $(X,D…
K-moduli of Fano 3-folds can have embedded points
Andrea Petracci
We exhibit an example of obstructed K-polystable Fano 3-fold such that the K-moduli stack of K-semistable Fano varieties and the K-moduli space of K-polystable Fano varieties h…
On deformation spaces of toric singularities and on singularities of K-moduli of Fano varieties
Andrea Petracci
Firstly, we see that the bases of the miniversal deformations of isolated -Gorenstein toric singularities are quite restricted. In particular, we classify the analytic…
A 1-dimensional component of K-moduli of del Pezzo surfaces
Andrea Petracci
We explicitly construct a component of the K-moduli space of K-polystable del Pezzo surfaces which is a smooth rational curve.