59 citations · 129 across the 20 of their papers we have counts for
4 papers · 1 filter
On K-stability of some del Pezzo surfaces of Fano index 2
Yuchen Liu, Andrea Petracci
For every integer , we relate the K-stability of hypersurfaces in the weighted projective space of degree with the GIT stability of binary form…
The logarithmic Bogomolov-Tian-Todorov theorem
Simon Felten, Andrea Petracci
We prove that the log smooth deformations of a proper log smooth saturated log Calabi-Yau space are unobstructed.
On toric geometry and K-stability of Fano varieties
Anne-Sophie Kaloghiros, Andrea Petracci
We present some applications of the deformation theory of toric Fano varieties to K-(semi/poly)stability of Fano varieties. First, we present two examples of K-polystable toric Fan…
Mirror Symmetry and smoothing Gorenstein toric affine 3-folds
Alessio Corti, Matej Filip, Andrea Petracci
We state two conjectures that together allow one to describe the set of smoothing components of a Gorenstein toric affine 3-fold in terms of a combinatorially defined and easily st…