Colloquium


DATE2017-10-13 14:10-15:00

PLACE數學館3174教室

SPEAKER陳正傑助理教授(中央大學數學系

TITLEA Generalization of Kawamata Blowup in Higher Dimension

ABSTRACT In this talk, we would introduce some basic facts about cyclic quotient singularities and discuss about some divisorial contractions in dimension $3$. Then, we show that the divisorial contraction to a terminal cyclic quotient singularity of index $r$ with minimal discrepancy $1/r$ is unique. This generalizes a result of Kawamata to higher dimension. However, there exist some terminal cyclic quotient singularities $(X,P)$ with minimal discrepancy $>1/r$ which allows infinitely many divisorial contractions to $(X,P)$.