Reid’s pagoda (and other non-toric flops) done 'torically'

Abstract: Everyone knows that the Atiyah flop can be described in terms of toric geometry by subdividing a square cone in two different ways. Reid’s pagoda is a geometric construction giving the flop of (-2,0)-curve and, as such, can’t be described in terms of toric geometry. Nevertheless, I will explain how to obtain the pagoda by subdividing a cone in an integral affine manifold in two different ways.

algebraic geometry

Audience: researchers in the topic

( video )

Fano Varieties and Birational Geometry