Normality of general elephants on 3-fold terminal flips

2016/08/01 by Chen, Jheng-Jie
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1608.00364

Abstract

We prove that the general elephant E_X⁺∈ |-K_X⁺| is normal where X--> X⁺ is a 3-fold terminal flip. Hence E_X⁺ has at worst Du Val singularities. As a corollary, there exists no non-Gorenstein singularity of type cE/2, cD/3, nor cAx/4 on the flipped curve C⁺.

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