The Existence of Gorenstein terminal fourfold flips
Algebraic Geometry
2007-05-23 v2
Abstract
This is a revised version of my paper which appeared in J. Math. Sci. Univ. Tokyo. We prove that for a flipping contraction from a Gorenstein terminal 4-fold, the pull back of a general hyperplane section of the down-stair has only canonical singularities. Based on this fact and using Siu-Kawamata-Nakayama's extension theorem [Si], [Kaw4], [Kaw5] and [Nak2], we prove the existence of the flip of such a flipping contraction. Furthermore we classify such flipping contractions and the flips under some additional assumptions.
Keywords
Cite
@article{arxiv.math/9905067,
title = {The Existence of Gorenstein terminal fourfold flips},
author = {Hiromichi Takagi},
journal= {arXiv preprint arXiv:math/9905067},
year = {2007}
}
Comments
We should add the paper [Si] to the reference