Communications in Analysis and Geometry
Volume 14 (2006)
Semistable Degeneration of Toric Varieties and Their Hypersurfaces
Pages: 59 – 89
We provide a construction of examples of semistable degeneration via toric geometry. The applications include a higher dimensional generalization of classical degeneration of $K3$ surface into 4 rational components, an algebraic geometric version of decomposing $K3$ as the fiber sum of two $E(1)$'s as well as its higher dimensional generalizations and many other new examples.