9
votes
0answers
265 views

Is a flop on Calabi-Yau threefolds always Atiyah flop?

Is it true that any flop on a Calabi-Yau threefold is given by the Atiyah flop? That is, there always exists a rigid rational curve $\mathbb{P}^1$ with normal bundle ...
3
votes
2answers
488 views

Crepant resolution of isolated fourfold singularity

I stumbled upon this isolated singularity of a Calabi-Yau fourfold: \begin{equation} x_1x_2+x_3x_4+x_5^2=0 \end{equation} as a hypersurface in $\mathbb{C}^5$. Clearly, I can resolve this by a simple ...