Family Switching Formula and the $-n$ Exceptional Rational Curves
Differential Geometry
2007-05-23 v2 Algebraic Geometry
Abstract
In this paper, we derive the family switching formula of -n two-sphere fiber bundle embedded in a smooth four-manifold fiber bundle. In the smooth category, it is a partial generalization of Fintushel-Stern's argument for four-manifolds. We also derive an algebraic analogue of the family switching formula, allowing the P^1 fibration to carry singular fibers. At the end, we apply the idea of switching to compare the canonical algebraic Kuranishi models of different classes on the so-called "universal family".
Keywords
Cite
@article{arxiv.math/0308197,
title = {Family Switching Formula and the $-n$ Exceptional Rational Curves},
author = {Ai-Ko Liu},
journal= {arXiv preprint arXiv:math/0308197},
year = {2007}
}
Comments
59 pages, 1 figure, some name typos fixed