We show that some of the properties of log canonical centres of a log canonical pair also hold for certain subvarieties that are close to being a log canonical centre. As a consequence, we obtain that, in working with deformations of pairs where all the coefficients of the boundary divisor are bigger than 1/2, embedded points never appear on the boundary divisor.
All Science Journal Classification (ASJC) codes
- deformation of pairs
- log canonical centre