Masayuki Kawakita

Inversion of adjunction on log canonicity

We prove inversion of adjunction on log canonicity.

Divisorial contractions in dimension three which contract divisors to smooth points

Abstract.We deal with a divisorial contraction in dimension three which contracts its exceptional divisor to a smooth point. We prove that any such contraction can be obtained by a suitable weighted blow-up.

Three-fold divisorial contractions to singularities of higher indices

We complete the explicit study of a three-fold divisorial contraction whose exceptional divisor contracts to a point, by treating the case where the point downstairs is a singularity of index

Divisorial Contractions in Dimension Three which Contract Divisors to Compound A1 Points

n \ge 2

On a comparison of minimal log discrepancies in terms of motivic integration

. We prove that if this singularity is of type c

General elephants of three-fold divisorial contractions

A/n

Discreteness of log discrepancies over log canonical triples on a fixed pair

then any such contraction is a suitable weighted blow-up; and that if otherwise then the discrepancy is

Towards boundedness of minimal log discrepancies by the Riemann-Roch theorem

1/n

A connectedness theorem over the spectrum of a formal power series ring

with a few exceptions. Every such exception has an example. Some exceptions allow the discrepancy to be arbitrarily large, but any contraction in this case is described as a weighted blow-up of a singularity of type c

Divisors computing the minimal log discrepancy on a smooth surface

D/2