Semi-Stable Degeneration of Toric Varieties and Their Hypersurfaces

Details Semi-Stable Degeneration of Toric Varieties and Their Hypersurfaces Semi-Stable Degeneration of Toric Varieties and Their Hypersurfaces

2001-10-08

arxiv.org/abs/math/0110091v1

Mathematics

Algebraic Geometry

26 pages, 8 figures

Scientific paper

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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