12 citations · 14 across the 9 of their papers we have counts for
11 papers
Degenerations of elliptic quartics and K-moduli of Fano threefolds
Ivan Cheltsov, Anne-Sophie Kaloghiros, Robert Śmiech +1
We study the K-moduli space of Fano threefolds obtained by first blowing up along an elliptic quartic curve and then blowing up a fiber of the exception…
The boundary of K-moduli of prime Fano threefolds of genus twelve
Anne-Sophie Kaloghiros, Yuchen Liu, Andrea Petracci +1
We study the K-moduli stack of prime Fano threefolds of genus twelve, known as . We prove that its boundary, which parametrizes singular members, is purely divisorial and c…
On K-stability of one-nodal prime Fano threefolds of genus
Elena Denisova, Anne-Sophie Kaloghiros
We show that general one-nodal prime Fano threefolds of genus are K-polystable.
K-moduli of pure states of four qubits
Ivan Cheltsov, Maksym Fedorchuk, Kento Fujita +1
We find all K-polystable limits of divisors in of degree and explicitly describe the associated irreducible component of the K-moduli space.
One-dimensional components in the K-moduli of smooth Fano 3-folds
Hamid Abban, Ivan Cheltsov, Elena Denisova +5
By identifying K-polystable limits in 4 specific deformations families of smooth Fano 3-folds, we complete the classification of one-dimensional components in the K-moduli space of…
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…