Topology versus Chern Numbers for Complex 3-Folds
Abstract
We show by example that the Chern numbers c13 and c1 c2 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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