Proceedings of the Japan Academy, Series A, Mathematical Sciences

Flips in dimension three via crepant descent method

Takayuki Hayakawa

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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.

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Proc. Japan Acad. Ser. A Math. Sci., Volume 79, Number 2 (2003), 46-51.

First available in Project Euclid: 18 May 2005

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Primary: 14E30: Minimal model program (Mori theory, extremal rays) 14E05: Rational and birational maps

Flip flop terminal singularity


Hayakawa, Takayuki. Flips in dimension three via crepant descent method. Proc. Japan Acad. Ser. A Math. Sci. 79 (2003), no. 2, 46--51. doi:10.3792/pjaa.79.46.

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