Topology versus Chern Numbers for Complex 3Folds
Abstract
We show by example that the Chern numbers c_1^3 and c_1 c_2 of a complex 3fold are not determined by the topology of the underlying smooth compact 6manifold. In fact, we observe that infinitely many different values of a Chern number can be achieved by (integrable) complex structures on a fixed 6manifold.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 January 1998
 DOI:
 10.48550/arXiv.math/9801133
 arXiv:
 arXiv:math/9801133
 Bibcode:
 1998math......1133L
 Keywords:

 Algebraic Geometry;
 Differential Geometry
 EPrint:
 8 pages, LaTeX2e