activity
20002009
most citedOn a comparison of minimal log discrepancies in terms of motivic integration

4 citations · 6 across the 3 of their papers we have counts for

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8 papers · 1 filter

math.AG20112 cited

Supplement to classification of three-fold divisorial contractions

Masayuki Kawakita

Every three-fold divisorial contraction to a non-Gorenstein point is a weighted blow-up.

math.AG20102 cited

Ideal-adic semi-continuity problem for minimal log discrepancies

Masayuki Kawakita

We discuss the ideal-adic semi-continuity problem for minimal log discrepancies by Mustata. We study the purely log terminal case, and prove the semi-continuity of minimal log disc…

math.AG20091 cited

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

Masayuki Kawakita

We introduce an approach of Riemann--Roch theorem to the boundedness problem of minimal log discrepancies in fixed dimension. After reducing it to the case of a Gorenstein terminal…

math.AG20064 cited

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

Masayuki Kawakita

We formulate a comparison of minimal log discrepancies of a variety and its ambient space with appropriate boundaries in terms of motivic integration. It was obtained also by Ein a…

math.AG2005

Inversion of adjunction on log canonicity

Masayuki Kawakita

We prove inversion of adjunction on log canonicity.

math.AG20031 cited

Three-fold divisorial contractions to singularities of higher indices

Masayuki Kawakita

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 singulari…