Document Type

Article

Publication Date

2006

Department

Mathematics

Abstract

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 it’s higher dimensional generalizations, and many other new examples.

Comments

This article was originally published in Communications in Analysis and Geometry, 14(1): 59-90. © 2006 International Press

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