Normality of general elephants on 3-fold terminal flips

Jheng-Jie Chen

We prove that the general elephant $E_{X^{+}}\in |-K_{X^{+}}|$ is normal where $X-->X^{+}$ is a 3-fold terminal flip. Hence $E_{X^{+}}$ has at worst Du Val singularities. As a corollary,…