Firstly, we see that the bases of the miniversal deformations of isolated $\mathbb {Q} $-
Gorenstein toric singularities are quite restricted. In particular, we classify the analytic germs …

We study locally trivial deformations of toric varieties from a combinatorial point of view. For
any fan $\Sigma $, we construct a deformation functor $\mathrm {Def} _\Sigma $ by …

For an arbitrary rational polyhedron, we consider its decompositions into Minkowski
summands and, dual to this, the so‐called free extensions of the associated pair of …

We consider deformations of a pair $(X,\partial X) $, where $ X $ is an affine toric Gorenstein
variety and $\partial X $ is its boundary. We compute the tangent and obstruction space for …

My experience as an INdAM fellow was wonderful from all points of view. I am especially
grateful to Dr. Mauro Petrucci for always answering any type of request promptly and …