The notion of k-rational singularities, introduced by Friedman and Laza, is a generalization of the classical concept of rational singularities. They introduced it motivated by their study of the unobstructedness of deformation theory for singular complex Calabi–Yau varieties. In this talk, we show that an inversion of adjunction holds for k-rational singularities.
This is joint work with Jakub Witaszek.