General elephants of three-fold divisorial contractions

We treat three-fold divisorial contractions whose exceptional divisors contract to Gorenstein points. We prove that a general element in the anti-canonical system around the exceptional divisor has at worst Du Val singularities. As application to classification, we describe divisorial contractions to compound A n Aₙ points, and moreover, we deduce that any divisorial contraction to a compound D n Dₙ or E n Eₙ point has discrepancy ≤ 4 ≤ 4 .