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Journal of Topology 2008 1(2):518-526; doi:10.1112/jtopol/jtn007
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© 2008 London Mathematical Society

Chern numbers and diffeomorphism types of projective varieties

D. Kotschick

Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333 München, Germany dieter@member.ams.org


  Abstract

In 1954, Hirzebruch asked which linear combinations of Chern numbers are topological invariants of smooth complex projective varieties. We give a complete answer to this question in small dimensions, and also prove partial results without restrictions on the dimension.

Received June 22, 2007.

2000 Mathematics Subject Classification 57R20 (primary), 14J30, 14J35, 32Q55 (secondary)

Herrn Prof. Dr. F. Hirzebruch zum 80. Geburtstag gewidmet.


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