Bounded deformations of $(\epsilon ,\delta )$-log canonical singularities

Jingjun Han, Jihao Liu, Joaquín Moraga

In this paper we study $(\epsilon ,\delta )$-lc singularites, i.e. $\epsilon$-lc singularities admitting a $\delta$-plt blow-up. We prove that $n$-dimensional $(\epsilon ,\delta )$-lc singularities are bounded up to a de…