Topology versus Chern Numbers for Complex 3-Folds

Details Topology versus Chern Numbers for Complex 3-Folds Topology versus Chern Numbers for Complex 3-Folds

1998-01-29

arxiv.org/abs/math/9801133v1

Mathematics

Algebraic Geometry

8 pages, LaTeX2e

Scientific paper

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.

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