A valuative criterion for Kähler-Einstein metrics in big classes

par M. Antonio Trusiani (IMT)

lundi 3 avr. 2023, 10:30 → 12:00 Europe/Paris

Pelos (IMT)

  I will present a recent work by T.Darvas and K.Zhang. Given X a manifold with big anti canonical bundle, the authors connect the existence  of a Kähler-Einstein metric to a divisorial stability condition. We will compare this criterion to the one obtained for Fano manifolds, and explain further algebro-geometric descriptions obtained recently.