29 citations · 59 across the 12 of their papers we have counts for
15 papers · 1 filter
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…
Some examples of Calabi-Yau pairs with maximal intersection and no toric model
Anne-Sophie Kaloghiros
It is known that a maximal intersection log canonical Calabi-Yau surface pair is crepant birational to a toric pair. This does not hold in higher dimension: this paper presents som…
The Sarkisov program for Mori fibred Calabi-Yau pairs
Alessio Corti, Anne-Sophie Kaloghiros
We prove a version of the Sarkisov program for volume preserving birational maps of Mori fibred Calabi-Yau pairs valid in all dimensions. Our theorem generalises the theorem of Usn…
Non-rigid quartic 3-folds
Hamid Abban, Anne-Sophie Kaloghiros
Let be a terminal factorial quartic -fold. If is non-singular, is \emph{birationally rigid}, i.e. the classical MMP on any terminal -…
Relations in the Sarkisov Program
Anne-Sophie Kaloghiros
The Sarkisov Program studies birational maps between varieties that are end products of the Minimal Model Program (MMP) on nonsingular uniruled varieties. If X and Y are terminal Q…
Finite generation and geography of models
Anne-Sophie Kaloghiros, Alex Küronya, Vladimir Lazić
There are two main examples where a version of the Minimal Model Program can, at least conjecturally, be performed successfully: the first is the classical MMP associated to the ca…
A classification of terminal quartic 3-folds and applications to rationality questions
Anne-Sophie Kaloghiros
This paper studies the birational geometry of terminal Gorenstein Fano 3-folds. If Y is not Q-factorial, in most cases, it is possible to describe explicitly the divisor class grou…
Introduction to the Minimal Model Program and the existence of flips
Alessio Corti, Anne-Sophie Kaloghiros, Vladimir Lazic
The first aim of this note is to give a concise, but complete and self-contained, presentation of the fundamental theorems of Mori theory - the nonvanishing, base point free, ratio…
The defect of Fano 3-folds
Anne-Sophie Kaloghiros
This paper studies the defect of terminal Gorenstein Fano 3 folds. I determine a bound on the defect of terminal Gorenstein Fano 3-folds of Picard rank 1 that do not contain a plan…
The topology of terminal quartic 3-folds
Anne-Sophie Kaloghiros
In this thesis, I determine a bound on the defect of terminal Gorenstein quartic 3-folds. More generally, I study the defect of terminal Gorenstein Fano 3-folds of Picard rank 1 an…