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Semi-Stable Degeneration of Toric Varieties and Their Hypersurfaces

Shengda Hu
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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.

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Shengda Hu. 2001-10-08. Semi-Stable Degeneration of Toric Varieties and Their Hypersurfaces. https://arxiv.org/abs/math/0110091

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