2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62348We 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 it's higher dimensional generalizations, and many other new examples.26 pages, 8 figuresAlgebraic GeometrySemi-Stable Degeneration of Toric Varieties and Their Hypersurfacestext