Journal of the American Mathematical Society

Author(s): Masayuki Kawakita
Journal: J. Amer. Math. Soc. 16 (2003), 331-362.
MSC (2000): Primary 14E05, 14E30
Posted: December 2, 2002
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Abstract: 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 $A_{n}$ points, and moreover, we deduce that any divisorial contraction to a compound $D_{n}$ or $E_{n}$ point has discrepancy $\le 4$ .

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