Semi-Stable Degeneration of Toric Varieties and Their Hypersurfaces
Algebraic Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/0110091,
title = {Semi-Stable Degeneration of Toric Varieties and Their Hypersurfaces},
author = {Shengda Hu},
journal= {arXiv preprint arXiv:math/0110091},
year = {2007}
}
Comments
26 pages, 8 figures