Kavli Affiliate: Yukari Ito | Summary:This is the final draft, containing very minor proof-reading corrections. Let G in SL(n,C) be a finite subgroup and fie: Y -> X = C^n/G any resolution of singularities of the quotient space. We prove that crepant exceptional prime divisors of Y correspond one-to-one with “junior” conjugacy classes of G. […]

Kavli Affiliate: Yukari Ito | Summary:The purpose of this paper is to construct a crepant resolution of quotient singularities by finite subgroups of SL(3,C) of monomial type, and prove that the Euler number of the resolution is equal to the number of conjugacy classes. This result is a part of conjecture II in previous paper […]

Kavli Affiliate: Yukari Ito | Summary:The purpose of this paper is to construct a crepant resolution of quotient singularities by trihedral groups ( finite subgroups of SL(3,C) of certain type ), and prove that each Euler number of the minimal model is equal to the number of conjugacy classes. Trihedral singularities are 3-dimensional version of […]