Open Access
Feb. 2003 Flips in dimension three via crepant descent method
Takayuki Hayakawa
Proc. Japan Acad. Ser. A Math. Sci. 79(2): 46-51 (Feb. 2003). DOI: 10.3792/pjaa.79.46

Abstract

We prove the existence of $3$-dimensional flips by using the crepant descent method. Our proof depends on the existence of good members in the anticanonical linear system and uses explicit computations of blowing ups of terminal singularities.

Citation

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Takayuki Hayakawa. "Flips in dimension three via crepant descent method." Proc. Japan Acad. Ser. A Math. Sci. 79 (2) 46 - 51, Feb. 2003. https://doi.org/10.3792/pjaa.79.46

Information

Published: Feb. 2003
First available in Project Euclid: 18 May 2005

zbMATH: 1044.14004
MathSciNet: MR1960743
Digital Object Identifier: 10.3792/pjaa.79.46

Subjects:
Primary: 14E05 , 14E30

Keywords: flip , flop , terminal singularity

Rights: Copyright © 2003 The Japan Academy

Vol.79 • No. 2 • Feb. 2003
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