On deformation spaces of toric singularities and on singularities of K-moduli of Fano varieties
A Petracci - Transactions of the American Mathematical Society, 2022 - ams.org
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 …
Gorenstein toric singularities are quite restricted. In particular, we classify the analytic germs …
Versality in toric geometry
K Altmann, A Constantinescu, M Filip - Journal of Algebra, 2022 - Elsevier
We study deformations of affine toric varieties. The entire deformation theory of these
singularities is encoded by the so-called versal deformation. The main goal of our paper is to …
singularities is encoded by the so-called versal deformation. The main goal of our paper is to …
[PDF][PDF] Toric deformations of singularities
A Sándor - etd.ceu.edu
We show a way to compute the deformation of certain singularities–which is a difficult job in
general–using Minkowski summands, following Altmann. This method can be generalised to …
general–using Minkowski summands, following Altmann. This method can be generalised to …
Deformations of a toric Gorenstein pair
M Filip - arXiv preprint arXiv:2006.12960, 2020 - arxiv.org
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 …
variety and $\partial X $ is its boundary. We compute the tangent and obstruction space for …
[PDF][PDF] FINAL ACTIVITY REPORT ON THE INDAM-COFUND PROJECT:“DEFORMIALS”
A CONSTANTINESCU - altamatematica.it
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 …
grateful to Dr. Mauro Petrucci for always answering any type of request promptly and …