Séminaire Algèbre Géométrie Algébrique Topologie Algébrique
Thursday 02 April 2026 à 10:00 - Salle 430
Anne-Sophie Kaloghiros (Brunel University of London)
K-polystable degenerations of prime Fano threefolds of genus 12
In the past couple of years, many components of K-moduli spaces parameterising K-polystable Fano threefolds with a smoothing in one of the 105 deformation families classified by Mori, Mukai and Iskovskikh have been explicitly described. In many cases, we now know which smooth Fano threefolds in the family are K-polystable and have some geometric information on K-(poly/semi)stable degenerations. The case of prime Fano threefolds of genus 12 remains mysterious – we don't even know which smooth prime Fano 3-folds are K-polystable (Donaldson's conjecture). The associated component of the K-moduli space is 6-dimensional. This talk will discuss some boundary components of the K-moduli of prime Fano threefolds of genus 12. This is based on joint works with Elena Denisova and with Yuchen Liu, Andrea Petracci and Junyan Zhao.