Topology versus Chern Numbers for Complex 3-Folds
Algebraic Geometry
2007-05-23 v1 Differential Geometry
Abstract
We show by example that the Chern numbers c_1^3 and c_1 c_2 of a complex 3-fold are not determined by the topology of the underlying smooth compact 6-manifold. In fact, we observe that infinitely many different values of a Chern number can be achieved by (integrable) complex structures on a fixed 6-manifold.
Cite
@article{arxiv.math/9801133,
title = {Topology versus Chern Numbers for Complex 3-Folds},
author = {Claude LeBrun},
journal= {arXiv preprint arXiv:math/9801133},
year = {2007}
}
Comments
8 pages, LaTeX2e